- #1

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## Homework Statement

## Homework Equations

I know that flux is ∫∫F[r(t,s)]dotted[∂r/∂s x ∂r/∂t]dtds

## The Attempt at a Solution

So I parameterized the equation y=x^2+z^2

as:

x = s

y = s^2 + t^2

z = t

r(t,s) = [s, s^2+t^2, t]

I take the partial derivative of r with respect to s and t and then take the cross product.

I then that F[r(s,t)] and dot that with the cross product above.

I then need the boundaries which I find to be 1/sqrt(2) ≤ s ≤ 1/sqrt(8) and 1/sqrt(2) ≤ s ≤ 1/sqrt(8)

After integrating I get the answer 35/384 which says it's incorrect. I did the problem all over again and got the same exact answer. Any help?