Evaluate the integral // (10 · x + 9 · y)dA, where R is the parallelogram with: R vertices (-3,6), (3,-6), (6,-3) and (0,9) u + v 3 v — 2и y = 3 Provide an answer accurate to at least 4 significant figures. Integral = %3D Hint: The focus of this problem is on finding the Jacobian for two dimensional problem.

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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This is a calculus 3 (General Change of Variables) problem. Please explain each step clearly, no cursive writing.

Evaluate the integral
// (10 · x + 9 · y)dA ,where R is the parallelogram with:
R
vertices (-3,6), (3,-6), (6,-3) and (0,9)
u + v
3
v – 2u
y =
3
Provide an answer accurate to at least 4 significant figures.
Integral =
Hint: The focus of this problem is on finding the Jacobian for two dimensional problem.
Transcribed Image Text:Evaluate the integral // (10 · x + 9 · y)dA ,where R is the parallelogram with: R vertices (-3,6), (3,-6), (6,-3) and (0,9) u + v 3 v – 2u y = 3 Provide an answer accurate to at least 4 significant figures. Integral = Hint: The focus of this problem is on finding the Jacobian for two dimensional problem.
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