(a) Find a function f such that F = f (b) Use part (a) to evaluate ...

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(a) Find a function f such that F = ∇f

(b) Use part (a) to evaluate ∫C F • dr along the given curve C.

F(x, y) = x2i + y2j. 

C is the are of the parabola y = 2x2 from (–1, 2) to (2, 8)

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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