(X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 – 3x2, Q(x1, T2) = 3x1 + 2x2, D = {(x1, 12) : 0 < ¤1 < 2,0 < x2 < 1}. = x1x2, Q(x1,x2) = -2x1x2; D = {(r1,x2) :1 < x1< 2,0 < x2 < 3}.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 52E
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5. In each of Problems a through d verify Green's theorem.
a. P(x1,x2)
= -x2, Q(x1, x2) = x1; D
{(x1, T2) : 0 < x1 < 1,0 < x2 < 1}.
b. P(x1, x2) = x1£2, Q(x1,x2) = –2x1x2; D = {(x1, x2) : 1 < x1 < 2, 0 < x2 < 3}.
c. P(¤1, x2) = 2x1 – 3x2, Q(x1,x2) = 3x1 +2x2, D = {(T1, x2) : 0 < ¤1 < 2,0 < x2 < 1}.
Transcribed Image Text:5. In each of Problems a through d verify Green's theorem. a. P(x1,x2) = -x2, Q(x1, x2) = x1; D {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. b. P(x1, x2) = x1£2, Q(x1,x2) = –2x1x2; D = {(x1, x2) : 1 < x1 < 2, 0 < x2 < 3}. c. P(¤1, x2) = 2x1 – 3x2, Q(x1,x2) = 3x1 +2x2, D = {(T1, x2) : 0 < ¤1 < 2,0 < x2 < 1}.
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