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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 17CM

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#3

Find the Jacobian determinant (y) of the transformation u = xy, v = x + 1.
(u,v)
y-z.
Write the integral
-2/x
x=1 √y=1/x Y
as an integral over a region in the uv-plane. Do not evaluate the integral.
x+1
Write the integral
Find the Jacobian determinant (x,y,z) of the transformation u= 3x, v = 2y + 1, w =
(u,v,w)
dy dr
ry+1
LLE
x=0 Jy=-1
as an integral over a region in uvw-space. Do not evaluate the integral.
z=y-1
xyz dz dy dr

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