(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) = y²/1 + x² i + 2y arctan x j, C: r(t) = t²i + 2t j, 0 ≤ t ≤ 1

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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Question Posted: Nov 05, 2023 04:42 AM

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

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a Fx 2xy 1 x22 2y arctan x Fy 2y 1 x2 2 arctan x Then we set these equal to the components of the gr...View the full answer

Calculus

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