http://calc3.askbot.com/questions/Open source question and answer forum written in Python and DjangoenCopyright Askbot, 2010-2011.Wed, 30 Jul 2014 09:17:18 -0500http://calc3.askbot.com/question/198/quiz-3-question-1/I'm having an issue on quiz 3, question 1. What I got was.. $$\int _0 ^{2\pi} \int _0^1 e^{-r^2} $$ $$= \int _0 ^{2\pi} e ^{-r^2} r \delta \theta \bigg |_0 ^1$$ $$= \int _0 ^{2\pi} e^{-1} \delta \theta $$ $$= 2\pi e^{-1} $$ Which I know isn't right, but I'm not sure where exactly I went wrong?TiffanyWed, 30 Jul 2014 09:17:18 -0500http://calc3.askbot.com/question/198/http://calc3.askbot.com/question/179/question-2-on-quiz/I don't remember the exact wording of question #2 on the quiz but I think it asked what the area above the curve $z=-\sqrt{x^2+y^2}$ and below $z=\sqrt{x^2+y^2}$ inside the cylinder $x^2+y^2=1$; evaluate $\int\int\int (z) dV$. My answer came out to be zero but I don't think that is correct. If anybody understands this problem or has any ideas, please post them.AnonymousFri, 25 Jul 2014 09:05:21 -0500http://calc3.askbot.com/question/179/http://calc3.askbot.com/question/183/setting-up-spherical-integrals/I was wondering if anybody had an easily explainable way of how they choose the integration terms for spherical integrals. I know in class he was saying to use you as the point on z? So does that mean that the z term will always go from 0 to a certain number? For example in the last question on the quiz today, would the z integral have gone from 0 to the top function? or from the bottom of the function he gave, back to the top? ** Sorry I can't remember the question exactly** I feel like my thinking is wrong on how to come up with the terms, I thought your $\rho$ integral would go from the bottom function to the top, the $\phi$ integral would range from 0 to $\pi$ depending on how much of the sphere you want, and then the $\theta$ integral would range from 0 to $2\pi$ again ranging on how much of the sphere you are looking at. So I guess if anybody can remember how they went about question number 3 and could help me out that would be fantastic! :)TiffanyFri, 25 Jul 2014 13:45:28 -0500http://calc3.askbot.com/question/183/http://calc3.askbot.com/question/172/quiz-question/This maybe a simple question but can someone please help me with one of the problems that was said to be similar on the quiz tomorrow? Set up the Cartesian plane for $\iint\limits_{Disk} e^{-(x^2+y^2)} dA$asmith14Thu, 24 Jul 2014 18:08:34 -0500http://calc3.askbot.com/question/172/