Evaluating a Flux Integral In Exercises 29 and 30, find the flux of F over the closed

Chapter 15, Problem 29

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In Exercises 29 and 30, find the flux of F over the closed surface. (Let N be the outward unit normal vector of the surface.)

\(\mathbf{F}(x, y, z)=(x+y) \mathbf{i}+y \mathbf{j}+z \mathbf{k}\)

\(S: z=16-x^{2}-y^{2}, \quad z=0\)

Text Transcription:

F(x, y, z) = (x + y)i + yj + zk

S: z = 16 - x^2 - y^2,     z = 0

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