Evaluate ∮C (x + 3y)dx + ydy where C is the Jordan curve given by the graphs of y = e^x, y = e^−x and the horizontal line y = e^−1 a) By Green’s theorem b) By direct computation
Evaluate ∮C (x + 3y)dx + ydy where C is the Jordan curve given by the graphs of y = e^x, y = e^−x and the horizontal line y = e^−1 a) By Green’s theorem b) By direct computation
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Evaluate
∮C (x + 3y)dx + ydy where C is the Jordan curve given by the
graphs of y = e^x, y = e^−x and the horizontal line y = e^−1
a) By Green’s theorem
b) By direct computation
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