This is for an advanced calculus/advanced math course. Please be as detailed as possible in your...

Question

Question

16. Apply the Divergence Theorem to compute I = SS. F.dS, where F(x, y, z) = (xz2 + cos(y + 2), šv* +e”,z²z+y+ 2) 1 and S is

This is for an advanced calculus/advanced math course. Please be as detailed as possible in your answer. Thank you so much in advance.

PLEASE DO NOT USE CALCULATORS OR SOFTWARE TO SOLVE THESE PROBLEMS. PLEASE DO EVERYTHING BY HAND. THANK YOU!!

You can use the theorem below to solve the problem:

Answer 1

Answer #1

$= {^2?+ Cos (y + 2), ģy+ez, x2 + y +43) I = SSF.ds S F(x, y, z) 3 and s is the top half of the sphere x² + y² + 22 =1 with$

Answer 2

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