Let F(x, y) = (3x 2 + y 2 ) i + 2xy j and let C
Question:
Let F(x, y) = (3x2 + y2) i + 2xy j and let C be the curve shown.
(a) Evaluate ∫C F · dr directly.
(b) Show that F is conservative and find a function f such that F = ∇f .
(c) Evaluate ∫C F · dr using Theorem 2.
(d) Evaluate ∫C F · dr by first replacing C by a simpler curve that has the same initial and terminal points.
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Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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