4) Let F(x, y) = yi+xj. a) Show that F is conservative and find a function f such that F = = Vf. b) Use part a) to evaluate fF.dr along C, where C'is the arc of the curve y = x4 – x³ from (1,0) to (2,8).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4) Let F(x, y) = yi+ xj.
a) Show that F is conservative and find a function f such that F = Vf.
b) Use part a) to evaluate fF.dr along C, where C'is the arc of the curve y = x4– x³ from (1,0) to (2,8).
C'
Transcribed Image Text:4) Let F(x, y) = yi+ xj. a) Show that F is conservative and find a function f such that F = Vf. b) Use part a) to evaluate fF.dr along C, where C'is the arc of the curve y = x4– x³ from (1,0) to (2,8). C'
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