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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

For each of the following vector fields, find its curl and determine if it is a gradient field.
(a) ♬ = 5yz i + (5xz + z²) j + (5xy+2yz) k
curl F
F?
=
(b) Ğ = (10xy + x³) i+ (5x² + z²) j + (2yz – 4z) k
curl G
G ?
=
(c) H = 5yzi+ (z² – 5xz) j + (5xy + 2yz) k:
curl H
H?
=

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