(3) Verify the divergence theorem where(a) F(x, y, z) = 3xi + xyj + 2xzk and E is the cube bounded by theplanes x = 0, x = 1, y = 0, y = 1, z =(b) F(x, y, z) = x²i+ xyj+ zk and E is the solid bounded by the pa-raboloid z = 4 – x² – y² and the xy-plane.0, and z = 1.

Solution of (a) is in given below

Answered: a) F(x,y, z) : planes x = 0, x = 1, y =…

a) F(x,y, z) : planes x = 0, x = 1, y = 0, y = 1, z = 0, and z = 1. 3xi + xyj + 2xzk and E is the cube bounded by the %3D

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

(3) Verify the divergence theorem where
(a) F(x, y, z) = 3xi + xyj + 2xzk and E is the cube bounded by the
planes x = 0, x = 1, y = 0, y = 1, z =
(b) F(x, y, z) = x²i+ xyj+ zk and E is the solid bounded by the pa-
raboloid z = 4 – x² – y² and the xy-plane.
0, and z = 1.

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