(3,-4,-2) Show that 323 f dx + gdy + hdz = f(-3) 12x²y^z²dx + 16y³x³z²dy + 8zy r³dz is independent of path: (-4,2,-3) (-4,2,-3) || || || || || || Therefore curl F = (2-3) 12x²y²z²dx + 16y³x³z²dy + 8zy^¹r³dz = (

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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(3,-4,-2)
Show that 323 f dx + gdy + hdz = f(-3) 12x²y¹z²dx + 16y³x³z²dy + 8zyr³dz is independent of path:
(-4,2,-3)
(-4,2,-3)
DE 885
|| || || ||
Therefore curl F =
(4-2-3) 12x²y¹z²dx + 16y³r³z²dy + 8zy¹r³dz = |
Transcribed Image Text:(3,-4,-2) Show that 323 f dx + gdy + hdz = f(-3) 12x²y¹z²dx + 16y³x³z²dy + 8zyr³dz is independent of path: (-4,2,-3) (-4,2,-3) DE 885 || || || || Therefore curl F = (4-2-3) 12x²y¹z²dx + 16y³r³z²dy + 8zy¹r³dz = |
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