That doesn’t satisfy the requirement – that would only work if the initial equation was y’=0.85x. y’=0.85y with y(0)=19 is solved by y=19*e^(0.85x), as posted above.
You’re the failiest engineer ever. Where’s the depency of y (of its variable) in that? How can y(0) even exist in that? How can your solution for y depend on y itself? Gah you should have your major revoked for being an engifail.
Not quite. Once you’ve got it to that form it’s a quadratic you can solve.
0.425Y^2+y+19 = 17Y^2+40Y+760.
Solutions are (-40+ 223.78I)/34
or (-40-223.78I)/34
Did you math wizards that are so hung up on the equation ever have fun growing up? Frisbee? Baseball? Slip N Slide? Pervy next door neighbor with girly magazines? Anything?
Jeez it’s easy really, it’s a simple DE.
Replace the y^(a) by z^a, solve for z (in this case, z=0.85). The solution is then y(t) = c*exp(0.85*t)
Use y(0) = c*exp(0.85*0) = c = 19 to find c (which is: c = 19). The unique solution is: y(t) = 19 * exp(0.85*t)
And, Ryannon, usually I find you funny. But the assumption that anyone who can solve a complicated math problem never had fun as a kid is a little… ignorant.
No you noob, the y’ is a function, not a variable. It’s actually y as a function of y which is pretty stupid question set-up. Should be y as a function of x.
Though you are correct that the integral of y (AS A VARIABLE) would be (y^2) / 2, y in this case is a FUNCTION, depending on a dummy variable (which name is irrelevant, could be x, could be t), in which case you’d integrate over that variable. Short: you can’t say what the integral of y will be, because you need to know what y looks like in function of t, and finding that expression is the question on the piece of paper there.
Yeah, .425^2+19 seems like the right answer. To everyone saying 47, you can’t get a numerical answer unless they give you a value of x to evaluate at. You all fail.
SemiFail. The answer has already been given above:
y(x)=19exp(0.85x)
Your notation is too complex since
exp(0.85x+ln(19)) = exp(0.85x).exp(ln(19)) = exp(0.85x).19
so why keep the ln(19) in the argument of exp?
As poorly qualified as I am to refute Arthur’s arguments line-by-line and claim-by-claim, I hope you will bear with me while I begin this sincere and earnest attempt. And please don’t get mad with me if, in doing so, I must develop a rational-empirical base for dialogue about Arthur’s whinges. Let me cut to the chase: The facts as I see them simply do not support the false, but widely accepted, notion that Arthur should be a given a direct pipeline to the National Treasury. Have you noticed that in just about everything he writes, his underlying premise is that he is a spokesman for God? I don’t know about you, but that sure rings hollow to me.
Arthur has gone around the bend with his paranoia. Which brings me to my next criticism of Arthur. He shouldn’t create a global workers plantation overseen by transnational corporations who have no more concern for the human rights of those who produce their products or services than Arthur has for his cohorts. That’s just plain common sense. Of course, the people who appreciate Arthur’s canards are those who eagerly root up common sense, prominently hold it out, and decry it as poison with astonishing alacrity. But this is something to be filed away for future letters. At present, I wish to focus on only one thing: the fact that his seemingly egalitarian ideas lead only to results that are both domineering and unfair. It’s that simple.
I do not find machinations that are grungy, dissolute, and indecent to be “funny”. Maybe I lack a sense of humor but maybe Arthur is planning to exploit issues such as the global economic crisis and the increase in world terrorism in order to instigate planet-wide chaos. Planet-wide chaos is his gateway to global tyranny, which will in turn enable him to introduce a zeitgeist of nativism to our society. When I was younger I wanted to remind Arthur about the concept of truth in advertising. I still want to do that, but now I realize that I correctly predicted that he would threaten our core values, allegiances, and beliefs. Alas, I didn’t think he’d do that so effectively—or so soon. So he thinks that Man’s eternal search for Truth is a challenge to be avoided at all costs? Interesting viewpoint. Here’s another: In a recent essay, he stated that there should be publicly financed centers of defeatism. Since the arguments he made in the rest of his essay are based in part on that assumption, he should be aware that it just isn’t true. Not only that, but he refuses to come to terms with reality. Arthur prefers instead to live in a fantasy world of rationalization and hallucination.
Arthur keeps insisting that deplorable, pertinacious barbarians are more deserving of honor than our nation’s war heroes. To me, there is something fundamentally wrong with that story. Maybe it’s that Arthur’s inability to fathom what I am talking about is betrayed by his insistence that doing the fashionable thing is more important than life or liberty. We can therefore extrapolate that he uses highfalutin terms like “undiscriminatingness” and “barothermohygrograph” to conceal his plans to censor any incomplicitous cop-outs. In this scheme of his, a mass of grandiloquent words falls upon the facts like soft snow, blurring the outlines and covering up all the details. We become unable to see that Arthur always demands instant gratification. That’s all that is of concern to him; nothing else matters—except maybe to feed us a diet of robbery, murder, violence, and all other manner of trials and tribulations. I tell you this because one of the bewildering paradoxes of our time is the extent to which Arthur is willing to extract obscene salaries and profits from corporations that fragment the nation into politically disharmonious units, especially given that he himself would be affected by such actions.
I used a phrase a few moments ago. I referred to Arthur’s sympathizers as “lamebrained toughies.” You ought to memorize that phrase because, frankly, Arthur has been offering self-pitying, brassbound wantwits a lot of money to stultify art and retard the enjoyment and adoration of the beautiful. This is blood money, plain and simple. Anyone thinking of accepting it should realize that Arthur has been known to “prove” statistically that once he has approved of something it can’t possibly be inconsiderate. As you might have suspected, his proof is flawed. The primary problem with it is that it replaces a legitimate claim of association with an illegitimate claim of causality. Consequently, Arthur’s “proof” demonstrates only that he doesn’t care about freedom as he can neither eat it nor put it in the bank. It’s just a word to him. A final note: Arthur’s mandarin prose has always appealed to dictatorial rumormongers.
I’ve written many letters about Leila’s annoying ruses. Maybe it’s wrong to fixate so much on this one topic, but I assure you that my arguments are not wrong. Before examining the present situation, however, it is important that I change the world for the better. There is no contradiction here; even though Leila would rather talk about making changes than actually make them, you mustn’t forget that if you look soberly and carefully at the evidence all around you, you will truly find that Leila has frequently been spotted making nicey-nice with semi-intelligible publicity hounds. Is this because she needs their help to rebrand local churches as faith-based emporia teeming with impulse-buy items? The answer is rather depressing, but I’ll tell you anyway. The answer begins with the observation that there is no place in this country where we are safe from Leila’s grunts, no place where we are not targeted for hatred and attack. In closing, we must work together to evaluate the tactics Leila has used against me. Together, we can make a difference. Forever and always.
As poorly qualified as I am to refute Arthur’s arguments line-by-line and claim-by-claim, I hope you will bear with me while I begin this sincere and earnest attempt. And please don’t get mad with me if, in doing so, I must develop a rational-empirical base for dialogue about Arthur’s whinges. Let me cut to the chase: The facts as I see them simply do not support the false, but widely accepted, notion that Arthur should be a given a direct pipeline to the National Treasury. Have you noticed that in just about everything he writes, his underlying premise is that he is a spokesman for God? I don’t know about you, but that sure rings hollow to me.
Arthur has gone around the bend with his paranoia. Which brings me to my next criticism of Arthur. He shouldn’t create a global workers plantation overseen by transnational corporations who have no more concern for the human rights of those who produce their products or services than Arthur has for his cohorts. That’s just plain common sense. Of course, the people who appreciate Arthur’s canards are those who eagerly root up common sense, prominently hold it out, and decry it as poison with astonishing alacrity. But this is something to be filed away for future letters. At present, I wish to focus on only one thing: the fact that his seemingly egalitarian ideas lead only to results that are both domineering and unfair. It’s that simple.
I do not find machinations that are grungy, dissolute, and indecent to be “funny”. Maybe I lack a sense of humor but maybe Arthur is planning to exploit issues such as the global economic crisis and the increase in world terrorism in order to instigate planet-wide chaos. Planet-wide chaos is his gateway to global tyranny, which will in turn enable him to introduce a zeitgeist of nativism to our society. When I was younger I wanted to remind Arthur about the concept of truth in advertising. I still want to do that, but now I realize that I correctly predicted that he would threaten our core values, allegiances, and beliefs. Alas, I didn’t think he’d do that so effectively—or so soon. So he thinks that Man’s eternal search for Truth is a challenge to be avoided at all costs? Interesting viewpoint. Here’s another: In a recent essay, he stated that there should be publicly financed centers of defeatism. Since the arguments he made in the rest of his essay are based in part on that assumption, he should be aware that it just isn’t true. Not only that, but he refuses to come to terms with reality. Arthur prefers instead to live in a fantasy world of rationalization and hallucination.
Arthur keeps insisting that deplorable, pertinacious barbarians are more deserving of honor than our nation’s war heroes. To me, there is something fundamentally wrong with that story. Maybe it’s that Arthur’s inability to fathom what I am talking about is betrayed by his insistence that doing the fashionable thing is more important than life or liberty. We can therefore extrapolate that he uses highfalutin terms like “undiscriminatingness” and “barothermohygrograph” to conceal his plans to censor any incomplicitous cop-outs. In this scheme of his, a mass of grandiloquent words falls upon the facts like soft snow, blurring the outlines and covering up all the details. We become unable to see that Arthur always demands instant gratification. That’s all that is of concern to him; nothing else matters—except maybe to feed us a diet of robbery, murder, violence, and all other manner of trials and tribulations. I tell you this because one of the bewildering paradoxes of our time is the extent to which Arthur is willing to extract obscene salaries and profits from corporations that fragment the nation into politically disharmonious units, especially given that he himself would be affected by such actions.
I used a phrase a few moments ago. I referred to Arthur’s sympathizers as “lamebrained toughies.” You ought to memorize that phrase because, frankly, Arthur has been offering self-pitying, brassbound wantwits a lot of money to stultify art and retard the enjoyment and adoration of the beautiful. This is blood money, plain and simple. Anyone thinking of accepting it should realize that Arthur has been known to “prove” statistically that once he has approved of something it can’t possibly be inconsiderate. As you might have suspected, his proof is flawed. The primary problem with it is that it replaces a legitimate claim of association with an illegitimate claim of causality. Consequently, Arthur’s “proof” demonstrates only that he doesn’t care about freedom as he can neither eat it nor put it in the bank. It’s just a word to him. A final note: Arthur’s mandarin prose has always appealed to dictatorial rumormongers.
Hey Arthur – when you leverage your relationship with God to take over the world, can you please give me New Zealand? It’s a really nice place. Thanks!
*squeezes*
But she’s got such a cute snout! But sadly, the days of swine and noses are over.
I’ve passed porcine porkers with looking-crass guys. Porky in the sky with vile men.
All my calculus answers in high school were derived the unnecessarily long way. Why, because the short cut never came to me on the exam. Only after while discussing it with my teacher did he say I could of used such and such a function, but kudos for doing it your way. At that point I *headdesked* because I can only remember derivations on tests and not the easy way. Cost me many a marks and time my way.
No; I gave the solution for a differential equation. ‘y’ is a function, and doesn’t “take its own value”. That’s why we see y(0) in the problem statement. (You might be more familiar with functions being called ‘f’.)
We posit the solution y = 19 e^(0.85 x) and demonstrate that it satisfies the given conditions:
y’ = 19 e^(0.85 x) * 0.85 (by the chain rule, since the derivative of 0.85x is 0.85), which clearly = 0.85 y, as required.
y(0) = 19 e^(0.85 * 0) (i.e. we evaluate the function with x = 0), which = 19 e^0 = 19, also as required.
To be fair, differential equations aren’t normally taught in a “calculus” course, but instead in an actual “differential equations” course (typically in 2nd year of university or so). So the title is a bit of a fail, too.
I’m guessing the poster isn’t a math or engineering major.
This is a fairly simple differential equation though, so it could be part of some other course. I think my calc 3 course had a brief section on differential equations.
Well…There was a particularly pungent and virulent pile of manure, and it started talking, spouting volumes and volumes of sh!t, have you seen it, I think it came this way!
*reads Failblog bylaws*
Hmmm… no eating failfriends, that’s clear…
But there doesn’t appear to be any prohibition on consuming papal figures.
Nonetheless, it does seem wrong, somehow.
*puts down book*
*shrugs*
Not even close. Hint: this is a simple differential equation, so your answer should involve an exponential. You know how the derivative of e^x is e^x? Yeah.
The form y = kx^2 + C doesn’t work because then y’ = 2kx, which can’t possibly satisfy y’ = 0.85 y (because the polynomial is of different degree). Any polynomial will have this problem, for the same reason: differentiation lowers the degree by one.
I had fun watching some friends make fools of themselves. My friend withdrew all her money from the bank. Under her bed there were HUGE cans of food. She also had large jugs of water in her bedroom. It was surreal.
For those unaware of what happened behind the scenes (I was a senior programmer at the time), Citibank alone spent $200 million fixing their systems to prevent a meltdown. That’s just one company. At the corporation where I was working at the time, we spent part of two years getting ready and still had three minor systems go down irreparably.
Y2K wasn’t an issue BECAUSE enough people recognized the possible catastrophe and took the necessary steps to prevent it.
Preach it WN.
I spent most of the 18 months beforehand making sure all our systems were updated or upgraded so that when the day came nothing would break.
y’ = 2ay in this case 2(0.425)y, Integrating this gives y = ay^2 + c.
C = 19 in this case. Just my first attack. I have to do research. I did lower the degree by one. I’m not sure what you are doing.
Could you explain it?
Let’s say y = y(x), so y’ = y’(x) = dy/dx. The equation is dy/dx = 0.85y so you divide both sides by y and multiply by dx which gives dy/y = 0.85dx. Now you can integrate both sides -> ln|y| = 0.85x + C. Then you solve y and substitute the initial condition y(0) = 19 and you get
If a train left Chicago at 3p.m. going east at 60 mph and another train left Boston at 3:30 going west going 62 mph and they were on the same track and ohhh look a little bunny on the train tracks. Shoo little bunny!
That makes sense. Irritated at the fact that I did this in my mind f(y) rather than y = f(y). I mental lock and figured f of y = y as the value of its own function. Sorry about that.
Or you can do it in your head the way I did: it’s a first-order linear differential equation, so the solution will look like Ce^kx. y’ is kCe^kx, so clearly k = 0.85 to satisfy the first condition. y(0) is Ce^0 = C, so C = 19.
You are talking to someone that can’t even read without mouthing the words. You want him to do math in his head? 3 guzzinta 22 7 times, carry the 1 is the loneliest number that you ever knew. *frolics to 60s music*
I was going to say something about it but I didn’t want to shame you any more than you already were going to be. Plus I had confidence that you would figure it out on your own.
So mote it be is an old phrase, like “The kings says so, so mote it be”. Umm… kinda like “so be it”. Or “It is so”.
And vermouth in drinks is fine. Vermouth as the drink, not so much.
Thank you! I knew I could count on you to ’splain.
I don’t recall the last time I had vermouth. It wasn’t uncommon for our mom to serve us watered down wine or vermouth or even Oozo on Sundays when we were little. I will have to revisit it as the adult that I seem to have become.
I never did ride one of ‘em. I now know how to fish one out of the middle of the lake without ending up in the water though!
The lake was kinda, but only a little, choppy yesterday. That might have contributed to the difficulties.
I learnt it when I studied maths, not when I studied civil engineering.
We learnt how to calculate the volume of a cylindrical granary using the egyptian approximation to pi.
Good times.
Guys… how could you not spot this? This is a complete scam fail. The handwriting is exactly the same. Look at the ‘t’ and the ’s’ in the two comments. Someone has just used 2 pens and hasn’t even tried to change his handwriting.
This is a fake fail. And you all Fail for not realizing it.
WEEEEEEEEEEEEEEEEEEEEEE!!! You haven’t lived ’til you have to fix a boat engine and have to fish dropped tools and nuts and boats out of a foot of oily bilge water
If we look further into this we would probably come to the conclusion that a child around the age of 12 wrote this ‘fail’. I say this because he had a hard time stringing together ‘it is A secret’ which would be the correct sentence.
So not only did he obviously use the same handwriting with two different colour pens. He couldnt even remember to put an ‘A’ in.
I would guess this 12 year old boy put absolutely no effort into this Fake Fail yet he has managed to fool the entire staff of failblog and its viewers.
The handwriting in red is left-handed while the handwriting in blue is right-handed. I don’t know if you can tell the difference, but there is one.
If this is fake then it was faked by an ambidextrous 12 year-old.
And a college prof taking off 5 points for an IVP is not unreasonable, at all.
And I am gonna keep moving til I find the ones that don’t fit into that category. You would think Arkansas would have been gold but no, they have laws too
That’s my fail and i assure you, it was not photoshopped. The handwriting IS different, look at the t’s, the i’s, and the spacing of the letters. the letters also lean differently.
Actually it isn’t. As it has been pointed out by every wet blanket to come on today, it is the same writing, has been photoshopped, was NOT FIRST, it is a fake, we have failed at failing and so on and so forth. Here’s your consolation prize, it tastes great fried up, salted and served with fish and malt vinegar.
The real fail is the deduction of 5 marks – I speak as someone who lost 10 marks for ‘handwriting’ on a physics paper, and someone who checked exam papers where examiners had issued arbitrary mark deductions not proscribed in the rubrik
Fail because the teacher has the key answers to the test. That’s like the Bush Administration saying whatever is obvious to the general public is a secret.
Sorry to break it up to you guys, but this fail is fake.
No one uses pen for calculus problems, specially on exams, plus the horrible handwriting is the same.
well i see y as the variable of it and as the function name… yes both at the same time… so the answer would be y[name](y[variable])0.425*y^2+19 making the function turn into 19 if y[variable]=0 and y[name]‘ be the presented function
y’=0.85y, y(0)=19
dy/dx=0.85y
dy/y=0.85dx
**//=>>intergrating symbol
//dy/y=//0.85dx
ln|y|=0.85x+C
y=e^(0.85x+C)
y=e^(0.85x)*e^C
y=(C_1)e^0.85x; C is a constant, ln|C| can be expressed as C_1 (still a constant)
y(0)=19
19=(C_1)e^(0.85*0), e^0=1
C_1=19
Im sure someone has already done this, but I’ve got nothing else to do (and I suspect I made a mistake).
Glad to see so many fellow engineering majors on this site.
just a little remainder, it’s thanks to “math nerds” that the internet exists, and pretty much all electronic devices wouldn’t exist if it weren’t for math
No guys, if you just invert the corivative of the fifth power of x, you get
y = 900e.85x^3/2sqrt(47/sin(y))
then you reduce the fractorial to the eighth power of pi, giving you
y = 9108πx*43x – 11.8sin(sqrt(x))
and finally you uninstantiate the third matrix inside the vector sphere, then redefactorize the quadruplex, then redux the 4 to a 5 to get
y = 3.
The biggest fail of all is that this is labeled “calculus answer fail” it is a differential equation… not a calculus topic at all, even though in some calculus classes they teach basic first order separable differential equations like this one here. Still though it is hilarious. I wonder if anyone in my diff-eq class gave an answer like this on an exam. I will feel pretty sorry for the world of engineering if somebody would seriously answer like this. I’d be scared shitless!
First!
Oh lol btw
Here’s your potato, someone will be along shortly to help you with it.
Can we just use this for insertion?
*rolls in a cannon*
I dunno, it’s a secret.
Are you sure?
Nope, we have a doctor who specializes and everything!
Is that the short answer?
*Runs away*
*Bumps into marius*
Hey, get out the way, im trying to comment on this fail!
It isn’t: it’s
y(x) = 19e0.85x
.
neeeeerdd
you could also try:
(0.85/1.85)*x^1.85 + 19
Numerics are nice
That doesn’t satisfy the requirement – that would only work if the initial equation was y’=0.85x. y’=0.85y with y(0)=19 is solved by y=19*e^(0.85x), as posted above.
Paging Dr. Czuhc…paging Dr. Czuhc…
Would you require your root vegetable to be baked first?
There’s enough heat in there that it will bake on it’s own. No worries.
Don’t forget to insert a timer.
Just don’t ask about the sour cream.
Ass cream?
Could I lick the ass cream?
um, its a secret
So the truth comes out.
So the laxatives worked, then?
Scrubbing bubbles for the colon?
I would guess the answer is y=0.425y^2+19
I would guess that you are correct, sir.
-Engineering major.
I will see your major and raise you a light bird.
You’re the failiest engineer ever. Where’s the depency of y (of its variable) in that? How can y(0) even exist in that? How can your solution for y depend on y itself? Gah you should have your major revoked for being an engifail.
“Understanding what a differential equation is” fail.
Someone needs to stop sleeping through his math class.
f(y)=.425y^2+19 so when y=0 f(y)=19, you fail warkst
And y’ equals what?
y’ is the first derivative of y, so if y=19e^(0.85t) then
d/dt*y=y’=16.15e^(0.85t)
You are mistaken, sir. Bloody Stupid Johnson is the failiest engineer ever.
Not quite. Once you’ve got it to that form it’s a quadratic you can solve.
0.425Y^2+y+19 = 17Y^2+40Y+760.
Solutions are (-40+ 223.78I)/34
or (-40-223.78I)/34
Not particularly nice numbers, granted, but…
is it just me or did you just fail at math ?
“Not quite. Once you’ve got it to that form it’s a quadratic you can solve.
0.425Y^2+y+19 = 17Y^2+40Y+760.”
Where did you get the “y” in 0.425y^2 + “y” + 19?
Did you math wizards that are so hung up on the equation ever have fun growing up? Frisbee? Baseball? Slip N Slide? Pervy next door neighbor with girly magazines? Anything?
Why do you assume having fun with math excludes other fun pursuits?
Why do you assume I am assuming?
Assume makes an Ass of U and Me
Well then, I’ll blame this one on you.
Chill yo. It’s easy as hell, integrate the y’ and then solve for “c” with the initial condition. Y(x)=0.425y^2+19.
And to answer Ryannon-No, I did not have fun as a kid, how did you know?
It’s true, just saw it at school this very day.
Jeez it’s easy really, it’s a simple DE.
Replace the y^(a) by z^a, solve for z (in this case, z=0.85). The solution is then y(t) = c*exp(0.85*t)
Use y(0) = c*exp(0.85*0) = c = 19 to find c (which is: c = 19). The unique solution is: y(t) = 19 * exp(0.85*t)
Correct! answer is: y(x) = 19 + e^0.85x
almost right but you got the form wrong.
y(x) = 0.425x^2 + 19
don’t reference y on the right side as y is the function.
y(x) = 0.425x^2 +19 is wrong because then y’(x)= 0.85x and 0.85y(x)= 0.36125x^2 + 19*0.85
y(x) = 19 + e^0.85x is also wrong first because (e^0=1 so y(0)=20, but also because y’(x)=0.85*e^0.85x and 0.85y(x)= 0.85*e^0.85x +19*0.85
the correct answer was given by Warkst:
y(x)= 19* e^0.85x
Since e^0=1, y(0)=19 and
y’(x)= 19*0.85*e^0.85x= 0.85 y(x)
Know what’s odd my math teacher told me that one… but don’t tell any one else (it’s a secret)
I was given a slinky as a kid.
But I straightened it.
You got a slinky!!!!! Man..I got a drum, then I found out it was an oatmeal cannister.
Ghostbusters WIN
*insta-win stamp*
And, Ryannon, usually I find you funny. But the assumption that anyone who can solve a complicated math problem never had fun as a kid is a little… ignorant.
Baseball is fun? Since when?
Shouldn’t it be .425(y^2) + 19 = y?
Which means, it should be .425(y^2) – y + 19 = 0?
Which means, quadratic equation looked up on Wikipedia…
ax^2+bx+c, so a = .425, b = -1, and c = 19?
Plugging that in, you get roots equal to:
[1 +or- sqrt(1 - 4*19*.425)] / 2*.425?
So, it’s either (1-32.3)/.85 or (1+32.3)/.85
which becomes…
-36.82 or 39.17
No you noob, the y’ is a function, not a variable. It’s actually y as a function of y which is pretty stupid question set-up. Should be y as a function of x.
also where on earth did you get that y squared ?
do you even know what y’ means ?
oops replyed on the wrong post
You make me want to cry…go look up what a differential equation is.
it is a differential equation.
The variable is not explicit and not needed.
There is no problem in the question
what the f*ck.
y is a function… you can’t solve a function for there is nothing to be solved…. whats wrong with this world ?!?!?!
today i might just kill myself
What isn’t it 0.425y^2 – y + 19?
My original equation was y = 0.425y^2 + 19, if I set that equal to zero then what isn’t the middle term negative?
Did you guys think after awnsering?…
I think it is 0.425y’(it is Y’…y’!!!!)…0.425y’^2+19…yea you are correct, but it is y’.
Or rather, where did you get a y^2 from that? y’ = derivative of y. y(0) = function y(t) evaluated at time t=0.
this is the correct answer.
Basic integration, and the variable c is found by inserting the given answer that y(0)=19
the answer is y = 19 exp(.85x) “exp(c) ” means e to the power of c.
Finally, a win.
Thank you, five seconds worth of Laplace transforms and you can easily get this answer.
one of the few things the french did right XD
anyway, here’s the solution using Laplace:
y’=0.85y
y’-0.85y=0
y(s)*(s-0.85)=y(0)
y(s)=19/(s-0.85)
y(t)=19e^(0.85t)
Oh I simply love pulling Laplace transformations! Fantastic when you are modelling dynamic systems!
)
you have found the secret
!! – Beware teh Illuminati
Fail!
The answer is already given above:
y(x) = 19e0.85x
Whats calculus???
Secret.
Isn’t.
It?
Romantic.
Doch.
-5
He’s a professor, usually seen hanging around Czuhc.
I thought he was Czuhc’s dentist friend with the bad smile.
That’s close, calculus == dental plaque.
The answer is 47.
I’d have thought it was 42.
No sweetie. It’s always 47.
.425y^2+19
Think again! I would say 47 is closer.
Oh my, Calculus should be made illegal!
Don’t they use it for aggressive interrogation?
Would certainly make me sing like a canary. I will even confess to things I haven’t done past or future.
I happen to be very good at calculus and math. I watch Numb3rs reruns on tv.
There is a fantastic scene in a hysterical movie called “I Went Down” that centers on math. And no, despite the name, it’s not p0rn.
Mmm Peter McDonald. I need a moment.
Oh so you’re a math wizard yourself?
Not since it was replaced by much more humane methods, water boarding.
I knew it! Surfing is torture!
I thought it was Celine Dion songs.
Oh GAWD!!!! She makes my skin crawl!!!!!!
NOOOOOOOOO!!!!!!!!! you fiend!
*Throws Canadian club at BFF*
Does it have Canadian bacon on it? Hold the mayo and make it on whole wheat if you don’t mind.
Animal.consumption+queazy.tummy= BLAAAAAAARGHHH!!!!!
So sorry.
What’s the matter Leila? Too much ♪ Ry whiskey, Ry whiskey I cry . . . ♪
*hands ShamWow™ to Leila*
Feel better?
No, but thank you for the shamwow.
If the derivative of x^2 were 2x^2, that would work, but unfortunately for you the derivative of x^2 is 2x.
Fail. The integral of y is (y^2)/2 + C.
YOU DON’T NEED TO INTEGRATE FFS!
Though you are correct that the integral of y (AS A VARIABLE) would be (y^2) / 2, y in this case is a FUNCTION, depending on a dummy variable (which name is irrelevant, could be x, could be t), in which case you’d integrate over that variable. Short: you can’t say what the integral of y will be, because you need to know what y looks like in function of t, and finding that expression is the question on the piece of paper there.
Yeah, .425^2+19 seems like the right answer. To everyone saying 47, you can’t get a numerical answer unless they give you a value of x to evaluate at. You all fail.
The correct answer is, of course, that
y(x) = exp(0.85x + ln(19))
y’(x) = 0.85 . exp(0.85x + ln(19)) = 0.85 y(x)
y(0) = exp(0.85 . 0 + ln(19)) = exp(ln(19)) = 19
no other function but the exponential is its own derivative (except for a constant factor)
consider the wrong answer
y(x) = .425x^2+19
y’(x) = .85 x [ x is not the same as y(x), so we don't have y' = .85 y]
y(0) = 19
Wow, I never knew (x) could seem so sexy. Talk nerdy to me!
I’ll be your X. HA!
I’m glad at least ONE of the geeks out here can solve it right, I was starting to feel lonely :/
Gz! You solved a SIMPLE, HOMOGENEOUS, 1st grade DE.
not a WRONG solution, but an awkward form.
y(x) = exp(.85x + ln(19))
y(x) = exo(.85x) * exp(ln(19))
y(x) = exp(.85x) * 19
y(x) = 19*exp(.85x)
SemiFail. The answer has already been given above:
y(x)=19exp(0.85x)
Your notation is too complex since
exp(0.85x+ln(19)) = exp(0.85x).exp(ln(19)) = exp(0.85x).19
so why keep the ln(19) in the argument of exp?
wrong, BMit
correct answer is
19*exp(0.85*x)
Your “solution” doesnt solve the DE
I second that.
-5 FTW.
OK, seriously, the answer is y=19e^(0.85x).
Work: dy/dx = 0.85y => dy/y = 0.85dx => ln(y) = 0.85x + C
=> y = C’e^(0.85x)
When x = 0, e^(0.85x) = 1, so C’ = 19.
I should’ve finished reading the thread. Zahlman already beat me to it.
Speaking of beating, were you beaten up in school?
Regularly. How’d you guess?
Women’s intuition?
aww.
*head spins*
*eye twitches*
I hate math.
*Calls Father Karras*
THE SPIRIT OF FAIL COMPELS THEE!!!!!!!!!!!!
*dips microphone in bucket*
*shakes and sprays Holy Water on Gracie*
*chants*
dy/dx = 16.15 e^(0.85x) for your definition of y
oops, you are right
dy/dx = 16.15 e^(0.85 x) = 0.85 . 19 . e^(0.85 x) = 0.85y
The answer is: φ + potato
can’t believe it took so long for someone to solve it correctly.
i don’t think so …
d(19e^(0.85x)) / dx is (19 * 0.85) x + C { just like d(2x^2)/dx is 4x }
so … y(x) = 19e^( (17/380) x )
y ( 0 ) = 19
y’(x) = (19) (17/380) e^((17/380) x)
= (17 / 20 ) e^((17/380)x)
= 0.85 * e^((17/380)x)
Minus 5? I think he got off easy if you ask me.
I would have deducted enough till he was no longer conceived.
YOU ARE….. STUPID!!!!
*smashes “POOP” several times with mallet*
*roasts the bastard with a flamethrower*
*dumps the ashes in a vat of sulphuric acid*
…and you do it with such grace!
*ThankYouSmoochOnCheek*
My pleasure, madame.
*kisses Leila on the hand*
*rides away into the sunset*
*sigh*
Wish I had a daughter your age.
You rang?
Oh hey… Um, how are you doing today?
♪Marvelous!♫ Talked to PT on the phone last night for an hour and a half. Went to sleep with a smile on my face, and woke up with a smile on my face.
Thank God for long lasting batteries!
*can’t stop laughing*
You need batteries to talk on the phone?
*roffle*
I think Arthur is referring to a Battery Operated Buddy. Also known as B.O.B.
So, what’s all this buzzzzzzzzzzzzzz about?
(Psst – Leila, it wasn’t for the phone…it was for her…uh…
)
It’s for both! I’ve shared this clickie before, but since we’re on the subject, I gotta do it again.
so… clickie!
Yes I know. Why can we say the word?
V I B R A T O R
Diamonds aren’t girl’s best friend. A vibrator is.
Baby Jesus doesn’t require batteries.
*Refrains from making a second coming joke*
*snorkulus!*
YOU ARE….. STUPIDER!!!!!!!!!
Yes, yes. Now go play on the freeway.
Yes, be sure to frolick around on the motorway in the morning, at rush hour, at lunch, and in the evening. It’ll be more fun that way.
*offers free blindfold to Poop* It’s more fun this way.
*places a “kick my ass” sign on POOP’s back*
I picture that^ guy as a four year old. Rolling on the floor of a store, crying as loud as he can, because mommy won’t buy sweets for him.
…and I wasn’t talking about BFF.
*snork*
*stifles LOL*
My complaints about you:
As poorly qualified as I am to refute Arthur’s arguments line-by-line and claim-by-claim, I hope you will bear with me while I begin this sincere and earnest attempt. And please don’t get mad with me if, in doing so, I must develop a rational-empirical base for dialogue about Arthur’s whinges. Let me cut to the chase: The facts as I see them simply do not support the false, but widely accepted, notion that Arthur should be a given a direct pipeline to the National Treasury. Have you noticed that in just about everything he writes, his underlying premise is that he is a spokesman for God? I don’t know about you, but that sure rings hollow to me.
Arthur has gone around the bend with his paranoia. Which brings me to my next criticism of Arthur. He shouldn’t create a global workers plantation overseen by transnational corporations who have no more concern for the human rights of those who produce their products or services than Arthur has for his cohorts. That’s just plain common sense. Of course, the people who appreciate Arthur’s canards are those who eagerly root up common sense, prominently hold it out, and decry it as poison with astonishing alacrity. But this is something to be filed away for future letters. At present, I wish to focus on only one thing: the fact that his seemingly egalitarian ideas lead only to results that are both domineering and unfair. It’s that simple.
I do not find machinations that are grungy, dissolute, and indecent to be “funny”. Maybe I lack a sense of humor but maybe Arthur is planning to exploit issues such as the global economic crisis and the increase in world terrorism in order to instigate planet-wide chaos. Planet-wide chaos is his gateway to global tyranny, which will in turn enable him to introduce a zeitgeist of nativism to our society. When I was younger I wanted to remind Arthur about the concept of truth in advertising. I still want to do that, but now I realize that I correctly predicted that he would threaten our core values, allegiances, and beliefs. Alas, I didn’t think he’d do that so effectively—or so soon. So he thinks that Man’s eternal search for Truth is a challenge to be avoided at all costs? Interesting viewpoint. Here’s another: In a recent essay, he stated that there should be publicly financed centers of defeatism. Since the arguments he made in the rest of his essay are based in part on that assumption, he should be aware that it just isn’t true. Not only that, but he refuses to come to terms with reality. Arthur prefers instead to live in a fantasy world of rationalization and hallucination.
Arthur keeps insisting that deplorable, pertinacious barbarians are more deserving of honor than our nation’s war heroes. To me, there is something fundamentally wrong with that story. Maybe it’s that Arthur’s inability to fathom what I am talking about is betrayed by his insistence that doing the fashionable thing is more important than life or liberty. We can therefore extrapolate that he uses highfalutin terms like “undiscriminatingness” and “barothermohygrograph” to conceal his plans to censor any incomplicitous cop-outs. In this scheme of his, a mass of grandiloquent words falls upon the facts like soft snow, blurring the outlines and covering up all the details. We become unable to see that Arthur always demands instant gratification. That’s all that is of concern to him; nothing else matters—except maybe to feed us a diet of robbery, murder, violence, and all other manner of trials and tribulations. I tell you this because one of the bewildering paradoxes of our time is the extent to which Arthur is willing to extract obscene salaries and profits from corporations that fragment the nation into politically disharmonious units, especially given that he himself would be affected by such actions.
I used a phrase a few moments ago. I referred to Arthur’s sympathizers as “lamebrained toughies.” You ought to memorize that phrase because, frankly, Arthur has been offering self-pitying, brassbound wantwits a lot of money to stultify art and retard the enjoyment and adoration of the beautiful. This is blood money, plain and simple. Anyone thinking of accepting it should realize that Arthur has been known to “prove” statistically that once he has approved of something it can’t possibly be inconsiderate. As you might have suspected, his proof is flawed. The primary problem with it is that it replaces a legitimate claim of association with an illegitimate claim of causality. Consequently, Arthur’s “proof” demonstrates only that he doesn’t care about freedom as he can neither eat it nor put it in the bank. It’s just a word to him. A final note: Arthur’s mandarin prose has always appealed to dictatorial rumormongers.
tl:dr
It seems like there is a text generator for lazy trolls in Internet. Now all they need is a life generator.
Love the Cut and Paste feature.
Don’t forget the find and replace add-on.
My most favorite feature yet.
Sad thing is, the TROLL can’t comprehend any of what it’s pasting.
I have here in my library a lot of articles about poop and I wouldn’t even have to use the find & replace function.
ROFL!
^5
I’ve written many letters about Leila’s annoying ruses. Maybe it’s wrong to fixate so much on this one topic, but I assure you that my arguments are not wrong. Before examining the present situation, however, it is important that I change the world for the better. There is no contradiction here; even though Leila would rather talk about making changes than actually make them, you mustn’t forget that if you look soberly and carefully at the evidence all around you, you will truly find that Leila has frequently been spotted making nicey-nice with semi-intelligible publicity hounds. Is this because she needs their help to rebrand local churches as faith-based emporia teeming with impulse-buy items? The answer is rather depressing, but I’ll tell you anyway. The answer begins with the observation that there is no place in this country where we are safe from Leila’s grunts, no place where we are not targeted for hatred and attack. In closing, we must work together to evaluate the tactics Leila has used against me. Together, we can make a difference. Forever and always.
Awwww… aren’t you cute? Trying to sound eloquent? Yes you are! Yes you are! *patpatpat*
POOP must be Rush Limbaugh, Anne Coulter and Bill O’Reilly all rolled into one.
Oh poo! You ruined it BFF. I was enjoying the suspence.
Scott Pakin did all the work for him.
Ryannon, you’re a genius. Clickie my name for website.
The blue one.
ThankYou!!!
*tackleSqueezesGracie*
Are we going to give him a tast of his own…poop?
~e
Or we could perform a test of…
Better not. It would arouse him.
Is this the same troll who bothers BF? Maybe the generator is confusing me.
How can you tell the difference? They’re all the same to me.
“planet-wide chaos” is good. All the rest is just vocabulary poser bullshit…
Hail Eris!
Wrong Arthur, you were referring to the one with the round table.
My complaints about you:
As poorly qualified as I am to refute Arthur’s arguments line-by-line and claim-by-claim, I hope you will bear with me while I begin this sincere and earnest attempt. And please don’t get mad with me if, in doing so, I must develop a rational-empirical base for dialogue about Arthur’s whinges. Let me cut to the chase: The facts as I see them simply do not support the false, but widely accepted, notion that Arthur should be a given a direct pipeline to the National Treasury. Have you noticed that in just about everything he writes, his underlying premise is that he is a spokesman for God? I don’t know about you, but that sure rings hollow to me.
Arthur has gone around the bend with his paranoia. Which brings me to my next criticism of Arthur. He shouldn’t create a global workers plantation overseen by transnational corporations who have no more concern for the human rights of those who produce their products or services than Arthur has for his cohorts. That’s just plain common sense. Of course, the people who appreciate Arthur’s canards are those who eagerly root up common sense, prominently hold it out, and decry it as poison with astonishing alacrity. But this is something to be filed away for future letters. At present, I wish to focus on only one thing: the fact that his seemingly egalitarian ideas lead only to results that are both domineering and unfair. It’s that simple.
I do not find machinations that are grungy, dissolute, and indecent to be “funny”. Maybe I lack a sense of humor but maybe Arthur is planning to exploit issues such as the global economic crisis and the increase in world terrorism in order to instigate planet-wide chaos. Planet-wide chaos is his gateway to global tyranny, which will in turn enable him to introduce a zeitgeist of nativism to our society. When I was younger I wanted to remind Arthur about the concept of truth in advertising. I still want to do that, but now I realize that I correctly predicted that he would threaten our core values, allegiances, and beliefs. Alas, I didn’t think he’d do that so effectively—or so soon. So he thinks that Man’s eternal search for Truth is a challenge to be avoided at all costs? Interesting viewpoint. Here’s another: In a recent essay, he stated that there should be publicly financed centers of defeatism. Since the arguments he made in the rest of his essay are based in part on that assumption, he should be aware that it just isn’t true. Not only that, but he refuses to come to terms with reality. Arthur prefers instead to live in a fantasy world of rationalization and hallucination.
Arthur keeps insisting that deplorable, pertinacious barbarians are more deserving of honor than our nation’s war heroes. To me, there is something fundamentally wrong with that story. Maybe it’s that Arthur’s inability to fathom what I am talking about is betrayed by his insistence that doing the fashionable thing is more important than life or liberty. We can therefore extrapolate that he uses highfalutin terms like “undiscriminatingness” and “barothermohygrograph” to conceal his plans to censor any incomplicitous cop-outs. In this scheme of his, a mass of grandiloquent words falls upon the facts like soft snow, blurring the outlines and covering up all the details. We become unable to see that Arthur always demands instant gratification. That’s all that is of concern to him; nothing else matters—except maybe to feed us a diet of robbery, murder, violence, and all other manner of trials and tribulations. I tell you this because one of the bewildering paradoxes of our time is the extent to which Arthur is willing to extract obscene salaries and profits from corporations that fragment the nation into politically disharmonious units, especially given that he himself would be affected by such actions.
I used a phrase a few moments ago. I referred to Arthur’s sympathizers as “lamebrained toughies.” You ought to memorize that phrase because, frankly, Arthur has been offering self-pitying, brassbound wantwits a lot of money to stultify art and retard the enjoyment and adoration of the beautiful. This is blood money, plain and simple. Anyone thinking of accepting it should realize that Arthur has been known to “prove” statistically that once he has approved of something it can’t possibly be inconsiderate. As you might have suspected, his proof is flawed. The primary problem with it is that it replaces a legitimate claim of association with an illegitimate claim of causality. Consequently, Arthur’s “proof” demonstrates only that he doesn’t care about freedom as he can neither eat it nor put it in the bank. It’s just a word to him. A final note: Arthur’s mandarin prose has always appealed to dictatorial rumormongers.
Really?? Seriously??
Waste no more time arguing about what a good man should be. Be one.
~ Marcus Aurelius
-50
Hey Arthur – when you leverage your relationship with God to take over the world, can you please give me New Zealand? It’s a really nice place. Thanks!
*squeezes*
A nice place? Hahaha, yeah sure, you old sheep shagger! You can have it. Have fun!
And *squeeze*, of course.
Oh, I see, Mr. Arthur Eld, calling me a sheep shagger? Ha! I take offense, sir!
*shags a pig*
*smiles and waves*
I hope you’re using protection, you wouldn’t want to get swine flu.
When pigs fly? Brewski!
But she’s got such a cute snout! But sadly, the days of swine and noses are over.
I’ve passed porcine porkers with looking-crass guys. Porky in the sky with vile men.
OK, I have no idea what I meant by that post. I need to stop eating hallucinogens for lunch.
You need to stop shagging creatures in general and have your NoNo checked.
Nono or hoohoo?
Aren’t women creatures too?
I thought it was a WooHoo.
Oh, come on people. Brewski’s post was obviously photoshopped. Just look at the pig cells.
I have to apologize, dear sir. You are indeed not a sheep shagger.
tl;dr
No longer WAS conceived, or no longer CAN conceive?
Yes. It’s a win/win situation.
All my calculus answers in high school were derived the unnecessarily long way. Why, because the short cut never came to me on the exam. Only after while discussing it with my teacher did he say I could of used such and such a function, but kudos for doing it your way. At that point I *headdesked* because I can only remember derivations on tests and not the easy way. Cost me many a marks and time my way.
FRIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I don’t get the y(0)
I wouldn’t either.
‘y’ is a function. ‘y(0)’ means the value of the function evaluated at 0.
The actual solution, for anyone who cares, is y = 19 e^(0.85 x). This is about as simple as differential equations get
I hate math. I really do.
But it looOOOOoooves you!
*onmywayoutthedoorsqueeze!*
It touches me at inappropriate places! I’m outraged!
*haveasplendiddaysqueeze*
Don’t pretend you don’t like to be intersected!
*three-way squeeze*
*triangulates*
*squeezes*
*juxtaposes*
*Punnett squares*
I’ll go rythyms
*rounds up zooms, improperly fractions him*
I’d never seen anyone…fractioned before!
It’s all pi in the sky until someone gets fractioned.
*coordinated squeezes for all*
*meets Judy @ XY axis and squeezes*
Actually it was a derivative that you just evaluated. You needed to integrate first. Also y takes its own value for some reason, no x though.
I always see (Y) and (0) as very dirty things. Not sure why. Maybe math touched me in inappropriate places too.
That does look dirty.
Trust me, I can see the dirty in most things
It’s a gift and a curse at the same time.
Makes life more fun, though.
I have the most innocent of intentions. Always. Without a doubt.
*
*
*sniff*
That’s no fun!
*kicks rocks while walking down the alley*
*snork*
We need to start a support group and put a stop to math’s inappropriate behaviors.
One time I saw math doing XXX
No; I gave the solution for a differential equation. ‘y’ is a function, and doesn’t “take its own value”. That’s why we see y(0) in the problem statement. (You might be more familiar with functions being called ‘f’.)
We posit the solution y = 19 e^(0.85 x) and demonstrate that it satisfies the given conditions:
y’ = 19 e^(0.85 x) * 0.85 (by the chain rule, since the derivative of 0.85x is 0.85), which clearly = 0.85 y, as required.
y(0) = 19 e^(0.85 * 0) (i.e. we evaluate the function with x = 0), which = 19 e^0 = 19, also as required.
To be fair, differential equations aren’t normally taught in a “calculus” course, but instead in an actual “differential equations” course (typically in 2nd year of university or so). So the title is a bit of a fail, too.
Yea I had a mental error there. I explained below. I got it now.
See? Math causes mental errors! It’s dangerous!
It just makes me mental. Let’s go shopping.
Without ever looking at those numbers on the price tags.
I took Marius’ credit card while he wasn’t looking. Men should learn to never leave their wallets on the nightstand.
Are we going to Needless Markups?
*hopeful grin*
It is a black Amex, what do you think?
Ok, so first meeting of Survivors of Math in session. Let’s go shopping.
Oh no, not again. I’m still paying off the last time you splurged on me.
You splooge, I splurge. It’s a fair trade if you ask me.
Hurry! Into the cab! He’s onto us!
*jumps in the cab*
Go!
Go!!!!
*Turns to back seat*
Where to ladies?
What is this? A halloween prank?
SHIT! WRONG CAB!
*Doors lock*
*brings on moped*
Come on everybody!!! Jump on. The mall is not going to wait forever!!!!!
*gives Marius a dirty look*
*Builds gate in front of mall*
*Plants hedges on either side of gate*
*Cuts hedges real low*
Tripping hazards are dangerous.
*applies “This is not an entrance” sign to gate*
*Adds “trespassers will be prostituted” sign*
*tresspasses*
What…
*Struts in in a leisure suit*
Heya I thought I told you to get working Leila. You are my math prostitute. Now solve functions for cash.
*blocks entry door*
Can’t you read?? This is not a door!
*reminisces fondly and wonders where all the old fails go when there are new up and coming fails to take their places*
I’m in!
Just send me the numbers and the security code, I’ll shop with you guys online
Like we said to my gay cousin, you have to come out at some point. I won’t make you carry my purse, I promise.
Okay, Let me figure the directions out….
y(0) x down 85′ stairs…hmmm I hate math
Be like me, learn how to count someone else’s money and spell your name, the rest will come to you.
I’m guessing the poster isn’t a math or engineering major.
This is a fairly simple differential equation though, so it could be part of some other course. I think my calc 3 course had a brief section on differential equations.
SIMPLE?! THAT’S WHAT YOU GODAMN MATH GENIUSES ALWAYS SAY! SIMPLE?! HOW AM I SUPPOSED TO UNDERSTAND THE COMPLICATED STUFF??!!??!??!
You marry a math genius. Duh!
Or just look pretty and take their credit cards.
*hateshateshates math*
Simple or otherwise, it all sucks.
As soon as the first “x” appeared in an equation, I was suspecting that I will never need this in my lifetime. So far I was right.
That’s pretty much how I feel about it too.
Ditto, tritto!
It’s funny then, how I gave birth to such a math genius.
(Before you ask, oh HELL no, he didn’t get it from his father!)
What’s wrong with math?? I loved it! Except for differential equations, but I had a sucky teacher for that.
I did fine in geometry. I even did well in geometry class! But algebra nearly killed me. I can do it, most of the time, but I REALLY don’t like it.
I did really well in math. I never took calculus however.
I got 103% in my GCSE math.
Succeeding in math requires 50% dedication, 50% aptitude, and 50% enthusiasm!
If you want “o” you gotta have “x”.
I didn’t think you could have an o on x.
Um…AE. Have a seat sweetie!!! Here, I got you something to drink with a little something’ something in it.
*hands AE a drink*
Wait a minute, let me take of sip of that first.
*sips through straw*
Hmm. Seems alright, but I do feel a bit shleepy no-Zzzzzzzzzzz…
I swear, it’s like you have to keep your eyes on this kid … 24/7.
*puts a fluffy blanket on BFF*
*murmers in sleep*
No, Prime Minister, I don’t know why the potato was there.
I’ll have what he’s having! ^
Potato Vodka?
BFF’s been pickled.
Or French fried.
Q.E.D.
Quasi
Erectile
Dysfuntion
That one is a little hard to say.
I will give you a hand.
Work your jaw muscles and start off slow. You’ll get there.
Questionable Ethics Division?
Quacky Evil Doctor?
I get it now
i can say you but then i have to kill you
Silence! I kill you!
I see dead people!
No you don’t!
It is a secret to everybody.
everyone save chuck norris
Why? Is he in danger?
Is he down a well?
He’s never in danger. He IS danger.
Anyone wanna drop a note to Emily and have a certain excrement removed?
*wanders in looking bemused, shovel in hand*
Sorry I was cleaning the stables and the weirdest thing happened!
Do tell.
*squeeze*
Well…There was a particularly pungent and virulent pile of manure, and it started talking, spouting volumes and volumes of sh!t, have you seen it, I think it came this way!
No, I don’t think the Republican Party has come this way.
I haven’t noticed anything. I have been pressing my shiny new Igno…
Where is my IgnoreButton????
AAAAAAAAAAAHHHHH!!!!!
*flees thread in search of button*
Maybe the flea infestation took it.
*gives Leila some DE*
You were right.
*panting*
I had to tackle those sneaky bastards for it!
You should use the DE. It’s organic, so it’s not poisonous.
Made from a combination of mandrake root, castor beans and belladonna.
Don’t you mean primadonna?
Oh GAWD!!! What’s going to happen now?
Dégagé.
Tendu
Come on… The guy is already an underachiever in Real Life and you want to make him an underachiever in Virtual Life, too?
Poor bastard…
I read your name as “Pope All you can eat II”.
*snorkroffle!*
Did somebody say buffet??
*drools hungrily*
*reads Failblog bylaws*
Hmmm… no eating failfriends, that’s clear…
But there doesn’t appear to be any prohibition on consuming papal figures.
Nonetheless, it does seem wrong, somehow.
*puts down book*
*shrugs*
I thought we were all going to hell anyway?
What’s one more thing?
Can you just IMAGINE the size of THAT potato?!?
Can you just 1mag1ne the size of THAT potato?!?
Potatos? In Hell? But… I thought pleasure was off-limits there!
I thought we were referring to Jimmy Buffet?
With all this math, I thought it was Warren Buffet.
*buffets both Buffets repeatedly for effect*
Woooooooooow!
f(Y)= 0.425y^2 + C
f(0) = 0.425(0^2) + 19.
My rough attempt. I shall do some refreshing and return. Unless someone has the real answer before then.
Not even close. Hint: this is a simple differential equation, so your answer should involve an exponential. You know how the derivative of e^x is e^x? Yeah.
The form y = kx^2 + C doesn’t work because then y’ = 2kx, which can’t possibly satisfy y’ = 0.85 y (because the polynomial is of different degree). Any polynomial will have this problem, for the same reason: differentiation lowers the degree by one.
y2k? Wasn’t that a big deal that became nothing?
I had fun watching some friends make fools of themselves. My friend withdrew all her money from the bank. Under her bed there were HUGE cans of food. She also had large jugs of water in her bedroom. It was surreal.
I just waited and shut off all the lights at my family’s house. Hilarious.
For those unaware of what happened behind the scenes (I was a senior programmer at the time), Citibank alone spent $200 million fixing their systems to prevent a meltdown. That’s just one company. At the corporation where I was working at the time, we spent part of two years getting ready and still had three minor systems go down irreparably.
Y2K wasn’t an issue BECAUSE enough people recognized the possible catastrophe and took the necessary steps to prevent it.
/seriousness
Gosh Dad! Why do you have to be all serious and scare the cute boys away?
Hey, I /’ed!!
Indeed he did /’ed the :[ . I saw it with my two own eyes.
Preach it WN.
I spent most of the 18 months beforehand making sure all our systems were updated or upgraded so that when the day came nothing would break.
Key here was preparation.
Are you the keymaster?
No, but I found out I own FailBlog. Welcome!!!
I thought it was pwned!
We didn’t have any Shiny New IgnoreButtons™ at the time, so we had little choice.
Ack – break is over!!!!!!!
I toasted marshmallows by candlelight with my GF.
y’ = 2ay in this case 2(0.425)y, Integrating this gives y = ay^2 + c.
C = 19 in this case. Just my first attack. I have to do research. I did lower the degree by one. I’m not sure what you are doing.
Could you explain it?
I will explain what he is doing: making stuff up. he hasn’t a clue. 0.425y^2 + 19 is correct.
Shit. Misread the question. I will turn in my pocket protector at the door.
No. His answer is correct. Quit talking about things you don’t know about. 0.425y^2 + 19 is the correct answer.
Let’s say y = y(x), so y’ = y’(x) = dy/dx. The equation is dy/dx = 0.85y so you divide both sides by y and multiply by dx which gives dy/y = 0.85dx. Now you can integrate both sides -> ln|y| = 0.85x + C. Then you solve y and substitute the initial condition y(0) = 19 and you get
y(x) = 19e^(0.85x)
Sorry I had to.
If a train left Chicago at 3p.m. going east at 60 mph and another train left Boston at 3:30 going west going 62 mph and they were on the same track and ohhh look a little bunny on the train tracks. Shoo little bunny!
I don’t think our math nerds can hear you right now…
Then it’s 60mph/3pm +…
*Head asplodes*
Don’t forget to add or deduct the bunny variable.
*steps over brain matter*
Lou and Mookie apparently deducted the bunny already.
I told him “Not in the eye!” At least he got that right.
*Cleans monitor*
*Hops off the tracks and checks her train ticket*
That makes sense. Irritated at the fact that I did this in my mind f(y) rather than y = f(y). I mental lock and figured f of y = y as the value of its own function. Sorry about that.
Exactly.
Or you can do it in your head the way I did: it’s a first-order linear differential equation, so the solution will look like Ce^kx. y’ is kCe^kx, so clearly k = 0.85 to satisfy the first condition. y(0) is Ce^0 = C, so C = 19.
You are talking to someone that can’t even read without mouthing the words. You want him to do math in his head? 3 guzzinta 22 7 times, carry the 1 is the loneliest number that you ever knew. *frolics to 60s music*
Wait a minute… Who are you referring to?
*cough*no one*cough*
Good, phew. For a minute I thought you questioned my intellect.
Um… “intelligence” or w/e.
*snickers*
*butterfingers*
Oh look: You made Suzy smile!
*gigglesnork*
Hey, that tickles!!!
My new avatar’s still not showing!
Who can i blame? Arthur?
I can distinctly see Eric Idle in full Sir Robin regalia.
Really?? I guess there’s just something wrong with my eyes then.
Did you clear your cache?
Apparently Lou didn’t listen to you when you said “not in the eye”. Proof once again Mookie is queen!
Obivously I did, clear the cache, just now, which works. Thanks!
You typed that like William Shatner talks.
AARG. Can’t believe I overlooked Ce^kx = y. Man am I out of practice.
I was going to say something about it but I didn’t want to shame you any more than you already were going to be. Plus I had confidence that you would figure it out on your own.
How else would he learn? We can’t always hand it to them ya know?
Yea it has been about 3 years since I have had to do any real calculus so I am fairly rusty. Now physics questions I can still do at a snap.
Non ti preoccupare carino mio.
It’s sexy when you speak Polish. The accent kills me.
Ma che cosa stai dicere Ry? Io non parlo il Polish.
Il Polacca. Io solo lo so due parole da quella lingua. Non sono buoni parole.
Inevitabilmente la prima cosa che si impara in una nuova lingua è la parolaccia.
*faints*
E sempre cosi, solo una via che non succede cosi. Se l’impara nella una classa.
the answer is filed under “ON A NEED TO KNOW BASIS” and apparently , the teacher doesn’t need to know…
That kid is destined for the NSA or some other “company”.
why, thank you, sir or madam! that makes me feel slightly more existent than i already feel!
This is an absolute win.
Can you keep a secret?
No.
depends on if i enjoy your presence or not
She never gives presents, she says we are too old to still believe in Santa.
well, that’s not in the hidden clauses of our contract!
Your elf confidence is very appealing.
well, the cookies aren’t gonna bake themselves, y’know!
Don’t eat the oatmeal “raisin” cookies. We ran out of raisins and improvised. I’m just sayin’…
*glances at pet rat*
I’ve wondered who has been cleaning up after him.
You obviously did not notice the miniature dust pan and brush in the cage then, They are very clever creatures!
The shoemaker had his elves, the bakers have their mice.
and failpeeps have their….CALCULUS!
And the failnerds that understand it!
and won’t stop asplaining it….
Roll-on or stick?
What, no spray on?
Bad for the environment. So says Gore.
So mote it be?
You lost your remote control?
*snork*
*squeeze*
Clickie!!
Kidding. I am not afraid to look stupid and tell you that I don’t understand the meaning between your ‘mote’ comment and the story your wrote.
Help out a foreigner, will ya?
So mote it be is an old phrase, like “The kings says so, so mote it be”. Umm… kinda like “so be it”. Or “It is so”.
And vermouth in drinks is fine. Vermouth as the drink, not so much.
Thank you!
I knew I could count on you to ’splain.
I don’t recall the last time I had vermouth. It wasn’t uncommon for our mom to serve us watered down wine or vermouth or even Oozo on Sundays when we were little. I will have to revisit it as the adult that I seem to have become.
Oh, and there is no connection with the story and the phrase. I just wanted to tell you I had a new post up.
Got that part too after you ’splained.
I rode one of those evil thingies a couple of times. They are kinda scary and very bumpy on the waters.
I never did ride one of ‘em. I now know how to fish one out of the middle of the lake without ending up in the water though!
The lake was kinda, but only a little, choppy yesterday. That might have contributed to the difficulties.
I’d say this is a win
How original!!!
Original is best
In almost all cases except this time.
Yes, and photoshopped. Now that’s done…
Since when did they start putting letters with numbers anyway?
-Since the invention of currency?
What is currency?
*trades rocks for a chocolate chip cookie*
No idea. I think it’s the name of a car.
*haggles price of shiny object down to three pieces of bark*
I can’t possibly trade you for three pieces of bark. I have a family to feed. How about 2 pieces of bark and a toenail clipping?
I will see your toenail clipping and raise you three armpit hairs.
Just won lotto *shows off beaver pelts*
*spits coffee on monitor*
*mind is firmly and permanently in the gutter*
It’s shaped like a landing strip!!!
Well this one is a triangle…and this one…I don’t know what happened to this beaver…Maybe it was in a fight…
A cock fight?
I should be so lucky.
So now there are a bunch of naked beavers in the forest?
Let’s hope they don’t meet the Russian racoon shagger.
I am still working on it….
It’s a measure of how much fruit is present in a currant bun.
Don’t forget the amount of interest involved.
I’m not that interested in currant buns, I give credit where credit is due to buns.
Just be careful with the IPO’s (Initial Potato Offerings), you don’t want to be involved when the bottom drops out.
Ah, but the potato futures are looking up! I’m all in.
*buys stock in all that is potato*
*Sees a future in potato shorts*
I see Marius is getting some potato puts.
Hey, shorts are not an option here! It’s not Thursday yet!
*hands Marius a pair of potato shorts*
Them’s just small potatoes.
Many centuries ago. http://en.wikipedia.org/wiki/Algebra#History
Zahlman, I was joking. Thanks anyway.
Did you have to learn ancient egyptian and sumerian mathematics at university too?
Waaaait… Are you saying that you as a civil engineer didn’t learn ancient egyptian and sumerian mathematics at university? I’m shocked! Shocked I say!
I learnt it when I studied maths, not when I studied civil engineering.
We learnt how to calculate the volume of a cylindrical granary using the egyptian approximation to pi.
Good times.
We also learnt Field Theory using the teachings of the Mock Turtle from Alice In Wonderland.
Education was a weird experience.
Guys… how could you not spot this? This is a complete scam fail. The handwriting is exactly the same. Look at the ‘t’ and the ’s’ in the two comments. Someone has just used 2 pens and hasn’t even tried to change his handwriting.
This is a fake fail. And you all Fail for not realizing it.
Don’t you have some shaking to do?
*wince*
I think that’s crossed a line, Ry.
You took that completely wrong. He is a mover and shaker. He has made things happen.
Owned.
Your name is fail
My name is awesome, how dare you.
Jesus Christ! That was fast!
Shame on you.
O.o
Hello Awesome How Dare You!
*waves*
I laughed.
You’ve misspelled your own name? Why?
I sneezed.
And peed a little bit.
How is my name misspelled?
Oh for heaven’s sake!!!!
heheh
he’s a shapeshifter
It may not be a secret. But math is a matter of opinion.
Pants are a matter of opinion.
*frowns at Brewski’s pants, which disintegrate in terror*
Hey, I didn’t even get lunch yet!!
*grabs the spare pare hidden under a pile of broken innuendo machines*
*squeezes*
Funny that they were hidden there, considering the working innuendo machines were, at one time, stored in Lunchbox’s pants.
*avissqueeze*

Lunchbox?
Hey, these aren’t my pants!! I thought they seemed a bit small!
*squeeze*
Not too tight, please, I’m a bit sore today!
Too much, ummm, nebber mind
Clickie for the reason. It’s more than completely work safe. Boats are hard work.
Yipper – I ran a 30′ commercial salmon troller for a coupla years in my youth. LOTS of work – but fun
Jeez, and here I’m complaining about having to fish a jetski (twice) out of the lake! Yesterday’s adventure would have been nothing but fun for you!
WEEEEEEEEEEEEEEEEEEEEEE!!! You haven’t lived ’til you have to fix a boat engine and have to fish dropped tools and nuts and boats out of a foot of oily bilge water
Ick. “Oily bilge water”.
Wait, how do you fish nuts and boats out of bilge water? How big was that boat you were on?!
Why didn’t you ride the thing instead of towing it?
It’s Lake Michigan. In late October. That’s why.
Is Jetski Brewski’s brother?
Cousin.
*grabs speedos and sends to unamed troll*
*raises eyebrow*
You really shouldn’t pare when you’re not wearing pants. Kinda dangerous to the danglies.
*lowers Gracie’s eyebrow, very very carefully*
Careful there! That thang’s liable to windowshade on ya!
*smoochsqueeze*
Thanks. It was starting to get out of hand.
*facepalm*
D’oh!
As I’ve said before – SOME things are meant to swing free…
Let’s see him say that when he gets that new kitten I sent him.
It is my opinion that you should squeeze or be squozen once you enter a room.
*Squeeeeeeeeeeeeze*
I like that opinion!
*squeeeze!*
If you say so.
*SqueezesLeilaGracieandBrewski*
Ooh, a squeezefest!
*SQUEEZES everybody*
*allinclusiveSQUEEZE*
Ever since H1N1B2(x)>3Y Flu came along, I gave up squeezing and just do the guy nod. *nod*
*nods*
Um…it’s just not the same Ry.
*tackles Ry to the ground*
*squeeeeeeeeeeeeezes*
*releases*
*hands Ry a bottle of Purell*
*coughs up a calculusball on Leila*
*tackles the woman formerly known as Leila ♀ and SQUEEEEEEEEEEEEEZES her with great pomp and circumstance*
There goes WN again, shaking the pomp pomps.
Man’s gotta do what a man’s gotta do…
*squeeeeeeezes Ryannon, with virtually no Purell in sight*
*jumps on top of squeeze pile*
*squeezes all in thread*
Don’t worry, I covered my entire body in Purell!
Purell comes in colors?
YES! I have some orangey glowy color Purell just for you Ry.
Wouldn’t that sting Brewski’s danglies?
I have another pair of pants, so there!
:-p
If we look further into this we would probably come to the conclusion that a child around the age of 12 wrote this ‘fail’. I say this because he had a hard time stringing together ‘it is A secret’ which would be the correct sentence.
So not only did he obviously use the same handwriting with two different colour pens. He couldnt even remember to put an ‘A’ in.
I would guess this 12 year old boy put absolutely no effort into this Fake Fail yet he has managed to fool the entire staff of failblog and its viewers.
FAIL?
and what is -5?.. when have you ever seen anything with a grad -5? The 12 year old boy doesnt have a clue how an exam is graded let alone the answer.
Yes he has burned you all pretty good. Bow your heads in shame.
We don’t bow when Arthur or Moomin are present.
Yeah, it’s too close to bending over and we all know what happened last time someone bent over in front of one of them.
Add Judy(and her E.T. finger) to that list.
You didn’t seem to complain about her finger.
She was givin’ him all she’s got!!
The handwriting in red is left-handed while the handwriting in blue is right-handed. I don’t know if you can tell the difference, but there is one.
If this is fake then it was faked by an ambidextrous 12 year-old.
And a college prof taking off 5 points for an IVP is not unreasonable, at all.
We don’t give a rat’s furry bahookie. We still think it’s funny. Stop trying to rain on our parade.
Today will be 70degrees with a 99% chance of You all got owned showers.
Bring your umbrella
Wow! You actually have a sense of humor. You should hang around Mr Awesome How Dare You AKA Michael J Fox and get an avatar and stuff…
You haven’t encountered Mr. Awesome before?
Never till today.
*checks it off on list of life accomplishments*
I met him after…
Maybe…. just maybe.
moar funny pictures
d/dx of e^ax = ae^ax ==> y`=.85y == dy/dx =.85y ==> a=.85
f(0)=e^(.85*0) + B = 19 ===> 1 +B = 19 ===> b=18
therefor
f(x)=e^.85x+18
In YOUR opinion.
I will say!
*JumpSqueezesWN*
Weeeeeeeeeeeeeeeeeeee!!!!!!!
You forgot to raise C (i.e., e^C). f’(x) = 0.85f(x) instead of the requisite 19f(x).
Blah, forgot the original problem. f’(x) = 0.85e^(0.85x), which is not 0.85f(x), since 0.85f(x) = 0.85e^(0.85x) + 18(0.85).
I before e except after c?
I take it that calculus is a form of math! I goggled it and calculus has a function???? (not knowing)
You may need to take it once you get to high school.
At least he was wise enough to put on eye protection
Did he have a mask on his mouth?
You mean to cover all that calculus on his teeth?
*hands 5eagles some tartar-control toothpaste*
Never took calculus in high school it was not required I guess.
Are you (Ryannon) and WhoeNellie related?
I hope not, incest is illegal in most states.
ROFL!!!
Well, people have said our fonts look alike so I understand the question.
But only in most of ‘em.
And I am gonna keep moving til I find the ones that don’t fit into that category. You would think Arkansas would have been gold but no, they have laws too
I think the teacher took the problem from Wikipedia:
http://en.wikipedia.org/wiki/Initial_value_problem#Examples
HANDWRITING IS THE SAME HAHAHAH
YOU TOLD US!
Nooo……? The “T”-s are different
LIES!!!
I would answer:
“http://www.wolframalpha.com/input/?i=solve%28y%27%28x%29%3D0.85y%2C+y%280%29%3D19%29″
Fake fail. Sad story.
It’s sad really. It was a real fail but it was photoshopped first.
That’s my fail and i assure you, it was not photoshopped. The handwriting IS different, look at the t’s, the i’s, and the spacing of the letters. the letters also lean differently.
Secret Education Crossover!
actually, this is kinda win XD
Actually it isn’t. As it has been pointed out by every wet blanket to come on today, it is the same writing, has been photoshopped, was NOT FIRST, it is a fake, we have failed at failing and so on and so forth. Here’s your consolation prize, it tastes great fried up, salted and served with fish and malt vinegar.
Lol isn’t it differentiable in [0,1]? Not that I got many cluse about it but consider y’(x)=Y(x)-y(x+1)/y(x+1)-y(x) for x = 0…
this gives the final solution of y(t) = 19e0.85t.
Whoa, someone who actually doesn’t fail.
thank you for not sucking.
Scott Pakin’s automatic complaint-letter generator is back up? I thought it had been down for years. THANK GOD AND ALL THAT IS HOLY!!!
It is wrong to do this to your teachers
FIRST!!!!
FUNTASTIC!
The real fail is the deduction of 5 marks – I speak as someone who lost 10 marks for ‘handwriting’ on a physics paper, and someone who checked exam papers where examiners had issued arbitrary mark deductions not proscribed in the rubrik
Which is why you have become a garbage man?
First
This is not a fail, this is a win!
Fail because the teacher has the key answers to the test. That’s like the Bush Administration saying whatever is obvious to the general public is a secret.
It’s a secret to everbody.
This is Differential Equations. Not Calculus.
I DONT GET IT
The answer is 0.425(y^2)+19 = f(y)
Whoops. Not a secret anymore, eh?
There’s some serious math fail going on here.
dy/dx=0.85y
dy/y=0.85dx
ln(y)=0.85x+C
e^(ln(y))=e^(0.85x+C)
y=(e^.85x)(e^C)
y=Ce^(.85x)
w/ initial value
19=Ce^(0)
19=C(1)
particular solution
y=19e^(.85x)
i cant tell who’s right and who’s wrong!
JoeO knows what’s up.
Joe O is correct, Harrison has got what the function and what the free variable are… y is the function, there is no f(y)
I like swords.
The answer is: 42
thts also the answer to life the universe and everything.
Just do it dy/dx = 0.85y
dy/y = 0.85dx
ln(y) = 0.85x + k
y(x) = C.exp(0.85x)
y(0) = C = 19
Answer y(x) = 19exp(0.85x)
no, this leaves
y’(x) = ( 19 ) ( 0.85 ) * exp (0.85x)
= 16.15 * exp(0.85x)
And??? Lol, thats the answer….
If y(x) = 19exp(0.85x)
y’(x) = 19*0.85exp(0.85x)
or y’(x) = 0.85*19exp(0.85x)
or y’(x) = 0.85y(x)
and y(0) = 19exp(0.85*0), y(0) = 19*exp(0), y(0) = 19*1, y(0) = 19
Thats quite simple, I wish my Calculus tests were like this lol.
See, that’s totally fail. If he had written “It’s a secret to everybody”, then it would have been win. You can’t go wrong with a Zelda reference.
Grader’s reply is win though.
Sorry to break it up to you guys, but this fail is fake.
No one uses pen for calculus problems, specially on exams, plus the horrible handwriting is the same.
Red pen= left-handed.
blue pen= right-handed.
look closer.
well i see y as the variable of it and as the function name… yes both at the same time… so the answer would be y[name](y[variable])0.425*y^2+19 making the function turn into 19 if y[variable]=0 and y[name]‘ be the presented function
Hmmmmm…………
easy… y=0.425y^2+19
lol, you fail at so many levels i can’t go on with this reply
FIRST COMMENT FTW!!!!!!
FAIL The First Comment Was Dilopho DD so EPIC FAIL
y(x) = 19*e^(0.85x)
y’(x) = 0.85*19e^(0.85x) [i.e. y'(x) = 0.85*y(x)]
y(0) = 19*e^(0.85*0) = 19*1 = 19
People are too smart these days *lonely sigh*…..
And the truth is that I sound WAAAAAYYYYYYYYY smarter than I really am.
It’ s the same letter!!
y’=0.85y, y(0)=19
dy/dx=0.85y
dy/y=0.85dx
**//=>>intergrating symbol
//dy/y=//0.85dx
ln|y|=0.85x+C
y=e^(0.85x+C)
y=e^(0.85x)*e^C
y=(C_1)e^0.85x; C is a constant, ln|C| can be expressed as C_1 (still a constant)
y(0)=19
19=(C_1)e^(0.85*0), e^0=1
C_1=19
Im sure someone has already done this, but I’ve got nothing else to do (and I suspect I made a mistake).
Glad to see so many fellow engineering majors on this site.
Oh good, everyone else seems to agree with my answer.
Whoops, forgot to plug in the 19.
y=19e^0.85x
let’s just all stick to Wikipedia (like the teacher):
http://en.wikipedia.org/wiki/Initial_value_problem#Examples
it is secret
Marker WIN!
who gives a shit what the answer really is?
hahhahahahaha that’s hilarious
y= who cares(2)
y(87.664)
y(x)34=I dont give a SH**
~Therefore, Y= there’s math nerds everywhere
just a little remainder, it’s thanks to “math nerds” that the internet exists, and pretty much all electronic devices wouldn’t exist if it weren’t for math
The example in wikipedia was added after the post here. And it is correct.
one of my friends didn’t know how to do a problem on the finals, so he just drew a narwhal.
It’d also be great if the teacher wrote “FAIL” under it in red pen.
The handwriting of the student is the same of the teacher’s!
This is a fake.
Haha that’s a hilarious fail.
Um, that’s a win… shoulda done that in my algebra class all those years ago. Just to piss off the teacher a little more.
Looks like the same handwriting to me :s
That’s not calculus, it’s algebra. Easy algebra.
Relly great answer
No guys, if you just invert the corivative of the fifth power of x, you get
y = 900e.85x^3/2sqrt(47/sin(y))
then you reduce the fractorial to the eighth power of pi, giving you
y = 9108πx*43x – 11.8sin(sqrt(x))
and finally you uninstantiate the third matrix inside the vector sphere, then redefactorize the quadruplex, then redux the 4 to a 5 to get
y = 3.
Duh.
no that would count as a WIN.
and to be onest you are sort of a math wiz gman. don’t worry about it I’m nerdy about lord of the rings and history.!.!.! =D
The biggest fail of all is that this is labeled “calculus answer fail” it is a differential equation… not a calculus topic at all, even though in some calculus classes they teach basic first order separable differential equations like this one here. Still though it is hilarious. I wonder if anyone in my diff-eq class gave an answer like this on an exam. I will feel pretty sorry for the world of engineering if somebody would seriously answer like this. I’d be scared shitless!
-Aerospace Engineering major