Using the Divergence Theorem In Exercises 17 and 18, evaluate where is the closed

Chapter 15, Problem 17

(choose chapter or problem)

In Exercises 17 and 18, evaluate

\(\int_{S} \int\) curl \(F \cdot N d S\)

where S is the closed surface of the solid bounded by the graphs of x = 4 and \(z=9-y^{2}\), and the coordinate planes.

\(\mathbf{F}(x, y, z)=\left(4 x y+z^{2}\right) \mathbf{i}+\left(2 x^{2}+6 y z\right) \mathbf{j}+2 x z \mathbf{k}\)

Text Transcription:

int_S int curl F cdot N dS

z = 9 - y^2

F(x, y, z) = (4xy + z^2)i + (2x^2 + 6yz)j + 2xzk

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