Verify the divergence theorem of a given vector fieldA = 2pzap + 3z sin o a, – 4p cos o azand S is the surface of the wedge 0 If the vector fieldT-(аху — Bz)ах + (3x? + үz)ay + (3xz? + у)а,is rotational, determine a, ß, and y.Select your answer.а 3 1, В 3D -1, у %3D -13 6, В 3 1, у 3D1a =a = 1, B = 1, y = 1= 6, B = -1, y = -1

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Verify the divergence theorem of a given vector field A = 2pza, + 3z sin o ag – 4p cos o az and S is the surface of the wedge 0 < p < 2, 0 < ¢ < 30°, 0 < z < 5.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Rectangular Coordinate System

In a rectangular coordinate system, each point based on the pair of coordinates is specified uniquely in the plane. From two fixed perpendicular lines, these coordinates are at a distance in the rectangular coordinate system. Each line is known as the reference axis and axes as plural. The point where they meet is called the origin (0,0).

Question

Verify the divergence theorem of a given vector field
A = 2pzap + 3z sin o a, – 4p cos o az
and S is the surface of the wedge 0 <p < 2, 0 < ¢ < 30°, 0 < z < 5.
Select your answer.
-131.57
89.86
131.57
-89.86

If the vector field
T-(аху — Bz)ах + (3x? + үz)ay + (3xz? + у)а,
is rotational, determine a, ß, and y.
Select your answer.
а 3 1, В 3D -1, у %3D -1
3 6, В 3 1, у 3D1
a =
a = 1, B = 1, y = 1
= 6, B = -1, y = -1

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