Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. F = x²i + y2j + zk; D: the solid cube cut by the coordinate planes and the planes x = 3, y = 3, and z =3B) 164D) 189A) 108C) 81

The divergence theorem states that the outward flux through an enclosed region is equal to ∭vDivF dv

Answered: F = = x2 + y2j + zk; D: the solid cube…

F = = x2 + y2j + zk; D: the solid cube cut by the coordinate planes and the planes x = 3, y = 3, and z = 3 B) 164 D) 189 A) 108 C) 81

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.CT: Test

Problem 3CT

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Question

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.

F = x²i + y2j + zk; D: the solid cube cut by the coordinate planes and the planes x = 3, y = 3, and z =
3
B) 164
D) 189
A) 108
C) 81

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