A vector field F and a curve C are given. (a) Show that F is conservative and
Question:
A vector field F and a curve C are given.
(a) Show that F is conservative and find a potential function f.
(b) Evaluate ∫C F · dr using Theorem 2.
(c) Evaluate ∫C F · dr by first replacing C with a line segment that has the same initial and terminal points.
Transcribed Image Text:
F(x, y) = (sin y + e", x cos y), C: x = 1, y = t(3 – t), 0
F(x, y) = (sin y + e", x cos y), C: x = 1, y = t(3 – t), 0
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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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