3. Use the divergence of the vector field to compute F(x, y) = (tan-1 (2x)) ₁ + (xy-2 +²8²) J j 4 fo tan-¹ (2x) 4 where is the cardiod r = = 1+ sin 0. dy - (zy - 2+8²) dr,

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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3. Use the divergence of the vector field
to compute
Y
F(x, y) 2²1) ₁ + (29-2 +²8²) J
=
fo
tan
-1
tan
4
-1
(2x)
dy -
where C is the cardiod r= 1+ sin 0.
(ry.
Y
2+82,
dx,
Transcribed Image Text:3. Use the divergence of the vector field to compute Y F(x, y) 2²1) ₁ + (29-2 +²8²) J = fo tan -1 tan 4 -1 (2x) dy - where C is the cardiod r= 1+ sin 0. (ry. Y 2+82, dx,
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