8. Use change of variables to find: a) The Jacobian if x=(u+3v), y =; -(v- 2u).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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8. Use change of variables to find:
a) The Jacobian if x =-
={v-2).
(u +3v), y =-
b) One of these three integrals is suitable for the Jacobian found in part a), identify it and solve it.
SS(2x - Sxy –3y)'da.
1) *
+ 3xy – 2y?) dA
a [(3x-Sxy-2y*)'d4
2)
3) *
R: x + 2y = 4, 2x - y = 0, x = 0.
R:2x+ y = 4, x-3y = 0,x = 0
R: 3x + y = 4, x-2y = 0, x = 0.
Transcribed Image Text:8. Use change of variables to find: a) The Jacobian if x =- ={v-2). (u +3v), y =- b) One of these three integrals is suitable for the Jacobian found in part a), identify it and solve it. SS(2x - Sxy –3y)'da. 1) * + 3xy – 2y?) dA a [(3x-Sxy-2y*)'d4 2) 3) * R: x + 2y = 4, 2x - y = 0, x = 0. R:2x+ y = 4, x-3y = 0,x = 0 R: 3x + y = 4, x-2y = 0, x = 0.
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