Use Green's Theorem to evaluate the integral Le (y-x)dx+ (10x-y)dy for the path C: boundary of the region lying between the graphs of y = x and y = x² - 4x.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 50E: The y-axis along with the graphs of y=-2x+7 and y=x+2 encloses a triangular region. Find the area of...
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Use Green's Theorem to evaluate the integral
Le (y-x)dx+ (10x-y)dy
for the path C: boundary of the region lying between the graphs of y = x and y = x² - 4x.
Transcribed Image Text:Use Green's Theorem to evaluate the integral Le (y-x)dx+ (10x-y)dy for the path C: boundary of the region lying between the graphs of y = x and y = x² - 4x.
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