Answered: 3. Determine whether these vector… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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3. Determine whether these vector fields are gradient fields, and if they are, find a potential
function for them.
(a) F = 4x²yi + (x³ — y³) j.
(b) G = z cos(y+z) i − xz sin(y+z) j — xz sin(y+z) k.
-
(c) H = (x + y)i + (x − z) j − (y +z) k.

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