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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Related Book For answer-question

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 02:35 AM

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

Question:

F = (x,y); C is the square with vertices (±1, ±1) with counterclockwise orientation.

Step by Step Answer:

a By parameterizing C To evaluate the line integral c F dr using parameterization we need to find a parameterization for the curve C In this case C is the square with vertices 1 1 with counterclockwis...View the full answer

Calculus For Scientists And Engineers Early Transcendentals

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