Anyone here who knows multivariable calculus?

Pre-College Topics High School Cafe
1

<p>Can anyone solve this? </p>

<p>Consider the surface S defined by x^2 + y^2 = 4, 0 ≤ z ≤ 3, and oriented with normal vectors n pointing away from the z-axis. Compute the flux of the vector field F = 2xzi + yz^2j +sqrt(x + y^2)k across S in the direction of n.</p>

<p>Each time I solve I get 72pi, and I verified 72pi using the divergence theorem. But other sources (as well as the answer key) result in 36pi.</p>

2

<p>I don’t know multivariable calculus, but it seems as if you have forgotten to halve something.</p>

3

<p>Well the thing is, I see an error in the answer key and other sources.</p>