Evaluate the line integral C . dr for the following functions w and oriented curves C

Question:

Evaluate the line integral ∫_C ∇φ. dr for the following functions w and oriented curves C in two ways.

a. Use a parametric description of C and evaluate the integral directly.

b. Use the Fundamental Theorem for line integrals.

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Calculus For Scientists And Engineers Early Transcendentals

ISBN: 9780321849212

1st Edition

Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran

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Question Posted: May 23, 2023 02:16 AM

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Evaluate the line integral C . dr for the following functions w and oriented curves C

Question:

p(x, y) = (x² + y²)/2; C: r(t) = (sin t, cos t), for 0 ≤ t ≤ T

Step by Step Answer:

To evaluate the line integral C dr using the given potential function x y x2 y22 and the curve C def...View the full answer

Calculus For Scientists And Engineers Early Transcendentals

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