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JJ R y3D ere R is the region enclosed by the parallelogram in the xy- ne shown to the right. Note the coordinates of the ersections of the lines are provided. B Make an "obvious" uv-substitution, i.e., change of variables, sed on the integrand (where you let u= 2y-x and v=x+y) to nvert the integral into u and v. Then, draw the corresponding gion S in the uv-plane. y3D. -6 4. y=-r-4 O Convert the integral into an equivalent integral in terms of u d v. Do not evaluate. A-(4.6) 8-) c-(-) D-(-

JJ R y3D ere R is the region enclosed by the parallelogram in the xy- ne shown to the right. Note the coordinates of the ersections of the lines are provided. B Make an "obvious" uv-substitution, i.e., change of variables, sed on the integrand (where you let u= 2y-x and v=x+y) to nvert the integral into u and v. Then, draw the corresponding gion S in the uv-plane. y3D. -6 4. y=-r-4 O Convert the integral into an equivalent integral in terms of u d v. Do not evaluate. A-(4.6) 8-) c-(-) D-(-

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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Consider the integral T(2y – x)* (x + y) dA 1/3 +4 R where R is the region enclosed by the parallelogram in the xy- plane shown to the right. Note the coordinates of the intersections of the lines are provided. (a) Make an "obvious" uv-substitution, i.e., change of variables, based on the integrand (where you let u= 2y-x and v=x+y) to y=-x+10 convert the integral into u and v. Then, draw the corresponding 4 8. region S in the uv-plane. -가 y=-r-4 (b) Convert the integral into an equivalent integral in terms of u and v. Do not evaluate. A=(4.6) -) c-(÷-) D-(-) 20 10 B% = 3 3 8 16 4 3 6
Transcribed Image Text:Consider the integral T(2y – x)* (x + y) dA 1/3 +4 R where R is the region enclosed by the parallelogram in the xy- plane shown to the right. Note the coordinates of the intersections of the lines are provided. (a) Make an "obvious" uv-substitution, i.e., change of variables, based on the integrand (where you let u= 2y-x and v=x+y) to y=-x+10 convert the integral into u and v. Then, draw the corresponding 4 8. region S in the uv-plane. -가 y=-r-4 (b) Convert the integral into an equivalent integral in terms of u and v. Do not evaluate. A=(4.6) -) c-(÷-) D-(-) 20 10 B% = 3 3 8 16 4 3 6
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