Answer: Evaluate this integral directly or. if pos~ible.

Chapter 10, Problem 10.1.219

(choose chapter or problem)

Evaluate this integral directly or, if possible, by the divergence theorem. (Show the details.)

\(\mathbf{F}=\left[y^{3}, x^{3}, 3 z^{2}\right]\),

S the portion of the paraboloid \(z=x^{2}+y^{2}, z \leqq 4\)

Text Transcription:

F = [y^3, x^3, 3z^2]

z = x^2 + y^2, z leqq 4

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