Use Green's Theorem to evaluate the integral [(y-x) dx+(3x-y)dy C for the path C: boundary of the region lying between the graphs of Xand y = x² - 4x. af 12_4x 2x dy dx = 125 a. b.x²-4x2x dy dx = 125 C. c. 11x²4x 2x dy dx = ! d. 112_4x 2x dy dx = 128 625 e. 161x *2x dy dx = 125 e d a b

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Use Green's Theorem to evaluate the integral
[(y-x) dx+(3x-y)dy
C
for the path C: boundary of the region lying between the graphs of y=xand y=x²
dy=x²-4x.
a.
a 11²_4x 2x dy dx = 125
3
b. jo 1x²_4x 2x dy dx = ¹25
C.
c. 11x²4x 2x dy dx = -625
9
e.
x=128
-4x2x dy dx =
*2x dy dx = 125
e
d
a
b
с
Transcribed Image Text:Use Green's Theorem to evaluate the integral [(y-x) dx+(3x-y)dy C for the path C: boundary of the region lying between the graphs of y=xand y=x² dy=x²-4x. a. a 11²_4x 2x dy dx = 125 3 b. jo 1x²_4x 2x dy dx = ¹25 C. c. 11x²4x 2x dy dx = -625 9 e. x=128 -4x2x dy dx = *2x dy dx = 125 e d a b с
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