Determine a∈R such that ∫CF⋅dr = −2−(3π/4), where F (x, y) = (ay, (x^2 − y)/2) and C is the part of the circle with center at the origin and radius 1, with y≥0, followed by the part of y = x^2−1 of x = −1 a x = 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 29E
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Determine a∈R such that

∫CF⋅dr = −2−(3π/4),

where F (x, y) = (ay, (x^2 − y)/2) and C is the part of the circle with center at the origin and radius 1, with y≥0, followed by the part of y = x^2−1 of x = −1 a x = 1.

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