Not all of them are trick questions, seems like; trick questions are possibly just special cases of their random question generator from what I can tell, for instance asking for the differentiation in x of a function that doesn't have an x variable. Still, this is brilliant. :D
Well, I count "this collection of information just happens to be trivially solvable" as a trick question. Like asking for the least real zero of a polynomial, where ALL the non-zero ones are the same. Or, sin/cos function with variations of Pi/2 inside that always result in 1/-1/0.
IE, with -any- other combination of variables it'd be tricky. With the one given? There's at least a 50% possiblity you can guess the result without even having to read up on those sections again.
I know I didn't feel like I learned anything in calc class while I was IN it, let alone remembering it twelve years later...and I'm guessing we had the same teacher.
[This is kind of a trick question, though - it's asking you to solve where x=pi, which means you're doing the cosine of 1.5pi and since cos is a function of pi to begin with, everything cancels out and you end up with d/dx[0]. I don't know if that means the answer is 0 or if d/dx[0] means something else, though. That's the only actual calculus bit in the problem and that's the part I don't remember.]
This is kind of hysterical and only MARGINALLY more difficult than reading some of the garbled text some websites like to use to make you prove you are a human. I hate those things.
...
HA! I went to the website you linked to and got a problem similar to the one you posted above (different numbers, but still with the cosine/pi combo) and followed the instructions to reload the page for a different equation, and the second time around it gave me:
Q: -2 + (-2) + 2 * (-3) * 1 = ?
And then I reloaded it again and it was an algebra problem.
The question requires that you differentiate first and then plug pi in to find the answer, not the other way around. That route wouldn't give any meaningful results - the object of differentiation is to find the slope of the graph of a function (or rise/fall rate), optionally at a given point (pi, in this case). So they'd need to differentiate first and end up with:
-8sin(2x-(pi)/x)
Then solve for x=pi
-8sin(2(pi)-(pi)/x) = -8sin(3pi/2) = -8 * -1 = 8.
It's not a trick question, but they're nice enough to provide an x value that's easy to solve and represent. It'd be hard to enter something like '2.958389294922blahblahblah' in the webform... ;)
OH, that makes sense! I couldn't remember what to do with the d/dx bit, so I just tried to solve the half I understood. :) I've always meant to try to revisit calculus and see if it made more sense to me outside of my high school classroom. I scored well enough on the calc AP test to test out of calculus in college, and I just never looked back after that...
You can simply see the answer with no real diferentiation. It is slope of cos at 3PI/2 which is 1, times 4 (it is four times taller), times 2 (it is 2 times denser for the 2x).. voila 8. You don't even have to know that cos' = -sin
*boggles* Uhm... Yeah. That's the sort of thing computers were designed to calculate. Anyway, even if I -had- payed attention in Calc class, the teacher herself was clueless and blithering on! It would have been a miracle if anyone picked up anything in that class at all. Anyone have a spare calculus text lying around that actually makes sense?
twopir@speare5-1-13:~ $ maple
|\^/| Maple 10 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2005
\ MAPLE / All rights reserved. Maple is a trademark of
Waterloo Maple Inc.
| Type ? for help.
> diff(4*cos((2*x)-(Pi/2)),x);
8 cos(2 x)
(no subject)
Date: 2007-07-19 05:32 pm (UTC)(no subject)
Date: 2007-07-20 01:42 am (UTC)(no subject)
Date: 2007-07-19 05:35 pm (UTC)(no subject)
Date: 2007-07-19 05:46 pm (UTC)(no subject)
Date: 2007-07-20 05:48 am (UTC)(no subject)
Date: 2007-07-20 05:49 am (UTC)(no subject)
Date: 2007-07-20 08:42 am (UTC)(no subject)
Date: 2007-07-20 12:50 pm (UTC)IE, with -any- other combination of variables it'd be tricky. With the one given? There's at least a 50% possiblity you can guess the result without even having to read up on those sections again.
(no subject)
Date: 2007-07-19 06:13 pm (UTC)The way to prove you're human is to write anything BUT the correct mathematical solution :P
(no subject)
Date: 2007-07-19 06:26 pm (UTC)(no subject)
Date: 2007-07-19 06:25 pm (UTC)(no subject)
Date: 2007-07-19 06:26 pm (UTC)This should be not a test to see if you are a human.
This should be a test to prove you are Asian. XD
(no subject)
Date: 2007-07-19 06:40 pm (UTC)(no subject)
Date: 2007-07-19 06:53 pm (UTC)[This is kind of a trick question, though - it's asking you to solve where x=pi, which means you're doing the cosine of 1.5pi and since cos is a function of pi to begin with, everything cancels out and you end up with d/dx[0]. I don't know if that means the answer is 0 or if d/dx[0] means something else, though. That's the only actual calculus bit in the problem and that's the part I don't remember.]
This is kind of hysterical and only MARGINALLY more difficult than reading some of the garbled text some websites like to use to make you prove you are a human. I hate those things.
...
HA! I went to the website you linked to and got a problem similar to the one you posted above (different numbers, but still with the cosine/pi combo) and followed the instructions to reload the page for a different equation, and the second time around it gave me:
Q: -2 + (-2) + 2 * (-3) * 1 = ?
And then I reloaded it again and it was an algebra problem.
(no subject)
Date: 2007-07-19 07:43 pm (UTC)-8sin(2x-(pi)/x)
Then solve for x=pi
-8sin(2(pi)-(pi)/x) = -8sin(3pi/2) = -8 * -1 = 8.
It's not a trick question, but they're nice enough to provide an x value that's easy to solve and represent. It'd be hard to enter something like '2.958389294922blahblahblah' in the webform... ;)
(no subject)
Date: 2007-07-19 07:46 pm (UTC)-8 * sin(2x-(pi)/x), not -8sin(2(pi)-(pi)/x).
(no subject)
Date: 2007-07-19 07:49 pm (UTC)I'm amazed!
Date: 2007-07-21 03:22 am (UTC)(no subject)
Date: 2007-07-19 07:07 pm (UTC)But then it asked to find the least real zero. I didnt read that bit untill I finished reducing it to p = x^2+x+-22+(-40/x)
Then I realized I did something wrong, balled it up and put it in the trash.
(no subject)
Date: 2007-07-19 09:26 pm (UTC)(no subject)
Date: 2007-07-19 07:42 pm (UTC)(no subject)
Date: 2007-07-19 09:18 pm (UTC)twopir@speare5-1-13:~ $ maple |\^/| Maple 10 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2005 \ MAPLE / All rights reserved. Maple is a trademark of Waterloo Maple Inc. | Type ? for help. > diff(4*cos((2*x)-(Pi/2)),x); 8 cos(2 x)(no subject)
Date: 2007-07-19 10:06 pm (UTC)I'm amazed!
Date: 2007-07-21 03:28 am (UTC)Re: I'm amazed!
Date: 2007-07-21 07:58 am (UTC)(no subject)
Date: 2007-07-19 09:55 pm (UTC)Here's one I thought of: You have to click on the "bullseye" in the image. The "bullseye", of course, moves around...
...the image is goatse.
(no subject)
Date: 2007-07-20 02:05 am (UTC)(no subject)
Date: 2007-07-20 03:31 am (UTC)For what it's worth, this is multivariate calc, and that's usually third-semester coursework in the university way of doing things.