Find the scalar potential for the conservative field: F(x, y, z) = 12xyi + (6x² − 6z²)j + (−12zy+9)k - The scalar potential is p(x, y, z) =¯+C Use this fact to evaluate F. dr where C is a smooth C curve joining the points P = (3,3,0) and Q = (0, -3, -4). Jo C F. dr 0
Find the scalar potential for the conservative field: F(x, y, z) = 12xyi + (6x² − 6z²)j + (−12zy+9)k - The scalar potential is p(x, y, z) =¯+C Use this fact to evaluate F. dr where C is a smooth C curve joining the points P = (3,3,0) and Q = (0, -3, -4). Jo C F. dr 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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![Find the scalar potential for the conservative field:
F(x, y, z) = 12xyi + (6x² − 6z²)j + (−12zy +9)k
The scalar potential is $(x, y, z) = ¯ +C
Use this fact to evaluate
Jo
curve joining the points P = (3,3,0) and
Q = (0, -3, -4).
[B
C
F. dr =
0
F. dr where C is a smooth](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbd5786d-c03d-4368-809a-5f6317a6d7c8%2Fee5dcb91-e23b-4ba3-b028-faa88004ee4b%2Fq7h4qrm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the scalar potential for the conservative field:
F(x, y, z) = 12xyi + (6x² − 6z²)j + (−12zy +9)k
The scalar potential is $(x, y, z) = ¯ +C
Use this fact to evaluate
Jo
curve joining the points P = (3,3,0) and
Q = (0, -3, -4).
[B
C
F. dr =
0
F. dr where C is a smooth
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