(a) If F(x, y) = (3 + 2xy) i + (x 2 3y 2 ) j,...

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(a) If F(x, y) = (3 + 2xy) i + (x² – 3y²) j, find a function f such that F = ∇f.

(b) Evaluate the line integral ∫_CF · dr, where C is the curve given by

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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Question Posted: Nov 09, 2023 04:52 AM

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(a) If F(x, y) = (3 + 2xy) i + (x 2 3y 2 ) j,...

Question:

r(t) = e' sin ti + e' costj 0≤1≤T

Step by Step Answer:

a We know that F is conservative and so there exists a function f with f F tha...View the full answer

Calculus

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