Suppose F(x, y, z)=(x, y, 42). Let W be the solid bounded by the paraboloid z = x² + y² and the plane z = 25. Let S be the closed boundary of W oriented outward. a) Use the divergence theorem to find the flux of through S. JfF.dÃ=O S b) Find the flux of out the bottom of S (the truncated paraboloid) and the top of S' (the disk).

Suppose F(x, y, z)=(x, y, 42). Let W be the solid bounded by the paraboloid z = x² + y² and the plane z = 25. Let S be the closed boundary of W oriented outward. a) Use the divergence theorem to find the flux of through S. JfF.dÃ=O S b) Find the flux of out the bottom of S (the truncated paraboloid) and the top of S' (the disk).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Suppose F(x, y, z) = (x, y, 42). Let W be the solid bounded by the paraboloid z = x² + y² and the plane z = 25. Let S be the closed boundary of W oriented outward.
a) Use the divergence theorem to find the flux of through S.
[fi
[F· dÃ=
S
b) Find the flux of ♬ out the bottom of 5 (the truncated paraboloid) and the top of S' (the disk).
Flux out the bottom=
Flux out the top =

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was more interested in part b, how do I figure out the flux out of the top and bottom?

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