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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 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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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