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

Chapter 15, Problem 30

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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.)

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

S: unit cube bounded by x = 0, x = 1, y = 0, y = 1, z = 0, z = 1

Text Transcription:

F(x, y, z) = 4xyi + z^{2}j + yzk

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