Evaluate the line integral c F dr for the following vector fields F and curves C

Question:

Evaluate the line integral ∫c F • dr for the following vector fields F and curves C in two ways.

a. By parameterizing C

b. By using the Fundamental Theorem for line integrals, if possible

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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 24, 2023 03:02 AM

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Evaluate the line integral c F dr for the following vector fields F and curves C

Question:

F = V(x²y); C: r(t) = (9- t², t), for 0 ≤ t ≤ 3

Step by Step Answer:

a To evaluate the line integral c F dr by parameterizing the curve C we need to calculate the dot pr...View the full answer

Calculus For Scientists And Engineers Early Transcendentals

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