A vector field with component form F(x, y, z) = (P(x, y, z), Q(x, y, 2), R(x, y, z)) on R³ is conservative if ӘР ӘР de dy' dz de dz ƏR ƏR and provided that certain “nice" conditions are met (which we assume). Let F(x, y, 2) = (e* cos y, –e² sin y, 2). (a) Show that F is conservative.
A vector field with component form F(x, y, z) = (P(x, y, z), Q(x, y, 2), R(x, y, z)) on R³ is conservative if ӘР ӘР de dy' dz de dz ƏR ƏR and provided that certain “nice" conditions are met (which we assume). Let F(x, y, 2) = (e* cos y, –e² sin y, 2). (a) Show that F is conservative.
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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![A vector field with component form F(x, y, z) = (P(x, y, z), Q(x, y, 2), R(x, y, z)) on
R³ is conservative if
ӘР ӘР
de
dz
ду
De
ƏR
and
ƏR
dy' dz
provided that certain “nice" conditions are met (which we assume).
Let F(x, y, z) = (eª cos y, –e* sin y, 2).
(a) Show that F is conservative.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fd531f0-250f-490d-993a-3449a32c15bc%2F80069466-05b2-47ae-984f-a724150eb02a%2Fdjau1c_processed.png&w=3840&q=75)
Transcribed Image Text:A vector field with component form F(x, y, z) = (P(x, y, z), Q(x, y, 2), R(x, y, z)) on
R³ is conservative if
ӘР ӘР
de
dz
ду
De
ƏR
and
ƏR
dy' dz
provided that certain “nice" conditions are met (which we assume).
Let F(x, y, z) = (eª cos y, –e* sin y, 2).
(a) Show that F is conservative.
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