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The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the uv-plane. Using these information, find two correct answers from the following: y 8 (2,7) 6 4 R (6, 3) 2 2 4 6 8 R(2y-x)dA= ₁² -²3, (v - u) dudv 3v The area of the triangle R = 54 unit². ○ ſfr(2y — x)dA = fo³ f²3(v – u)dudv ¯ ¶¶r(²y − x)dA = ¼ fo° Sºv/3(v – u)dudv The Jacobian is equal to 1 OdA = 3dudv Under this transformation, one of the boundary of R is the map of the line v = u. -(0, 0) X

The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the uv-plane. Using these information, find two correct answers from the following: y 8 (2,7) 6 4 R (6, 3) 2 2 4 6 8 R(2y-x)dA= ₁² -²3, (v - u) dudv 3v The area of the triangle R = 54 unit². ○ ſfr(2y — x)dA = fo³ f²3(v – u)dudv ¯ ¶¶r(²y − x)dA = ¼ fo° Sºv/3(v – u)dudv The Jacobian is equal to 1 OdA = 3dudv Under this transformation, one of the boundary of R is the map of the line v = u. -(0, 0) X

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The substitution = 2xy and v= x + y make the region R (see figure) into a simple region S in the uv-plane. Using these information, find two correct answers from the following: y (2,7) R (6, 3) 8 6 + 2 -(0, 0) 2 R(2y = x)dA = // foº ² (v – u)dudv -3v The area of the triangle R = 54 unit². SR(2y-x)dA = f ² (v – u)dudv -3v R(2y − x)dA = // foº Lºv/3 (v – u)dudv The Jacobian is equal to 1 OdA = 3dudv Under this transformation, one of the boundary of R is the map of the line v = u. X
Transcribed Image Text:The substitution = 2xy and v= x + y make the region R (see figure) into a simple region S in the uv-plane. Using these information, find two correct answers from the following: y (2,7) R (6, 3) 8 6 + 2 -(0, 0) 2 R(2y = x)dA = // foº ² (v – u)dudv -3v The area of the triangle R = 54 unit². SR(2y-x)dA = f ² (v – u)dudv -3v R(2y − x)dA = // foº Lºv/3 (v – u)dudv The Jacobian is equal to 1 OdA = 3dudv Under this transformation, one of the boundary of R is the map of the line v = u. X
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