Show that So fdx + gdy + hdz = So 25aty*z²dx + 20y°x*z²dy + 10zy*æ*dz is independent of path: (0,1,1) (0,1,1) ah dy dg %3D dz af dz dg fe dy Therefore curl F = where for a contour integral a F · dr the definition of curl F is (* - 2) i+ ( dg af dg af k. ду *) j+ ( Calculate So 25x*y+z²dx + 20y³x°z²dy+ 10zy^x³dz = - ду dz dz •(2,4,8) (0,1,1) డోశోశాశనాి దేశ్రీశాశనాశా

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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• (2,4,8)
•(2,4,8)
4.4
5 „2
Show that So fdx + gdy + hdz = So 25x+y*z²dx + 20y°x°z²dy+ 10zy*x'dz is independent of path:
ду
dg
dz
af
dz
dg
af
%3D
ду
Therefore curl F =
where for a contour integral c F · dr the definition of curl F is
(-2) i+ (- ) j + ( -) *
Calculate So 25xty*z²dx + 20y³x°z²dy+ 10zy*x³dz=
af
dh
dg
af
dz
dz
dy
(2,4,8)
р,1,1)
4,,4
II
II
దోదోశ|శశ|శి దోశ్రీ శాశ్రనాా
Transcribed Image Text:• (2,4,8) •(2,4,8) 4.4 5 „2 Show that So fdx + gdy + hdz = So 25x+y*z²dx + 20y°x°z²dy+ 10zy*x'dz is independent of path: ду dg dz af dz dg af %3D ду Therefore curl F = where for a contour integral c F · dr the definition of curl F is (-2) i+ (- ) j + ( -) * Calculate So 25xty*z²dx + 20y³x°z²dy+ 10zy*x³dz= af dh dg af dz dz dy (2,4,8) р,1,1) 4,,4 II II దోదోశ|శశ|శి దోశ్రీ శాశ్రనాా
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