Hi, Dr. Taylor. I keep completing this problem and I get the same answer
(-8pi) regardless of the method I use to solve for the flux. I also tried
using the divergence theorem, but I receive a different (incorrect) answer.
Any thoughts on what I'm doing wrong?
Thanks.
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well, you haven't told me what you
have done, but I surmise a couple of mistakes: the first is that your normal vector ∂
r/∂t x ∂
r/∂s is in the opposite of the positive
y-direction, while for the second you either made an algebraic mistake computing the cross product or you made an integration error equivalent to ∫ xdx = 2x^2 + C
(the divergence theorem doesn't apply to this problem)