Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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a) Consider the coordinate transformation given by x =
3u+2 v
13
y =
2 u-3 v
Compute the absolute value of the Jacobian of x, y with respect to u, v
J = 13/169
Your last answer was interpreted as follows:
13
169
13
b) Let be the second quadrant of the xy-plane, i.e. the region described by the
inequalities x ≤ 0, y ≥ 0. Using the coordinate transform from part a evaluate
Se−1 (2x-3y² dxdy =
Here is a positive constant.
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Transcribed Image Text:a) Consider the coordinate transformation given by x = 3u+2 v 13 y = 2 u-3 v Compute the absolute value of the Jacobian of x, y with respect to u, v J = 13/169 Your last answer was interpreted as follows: 13 169 13 b) Let be the second quadrant of the xy-plane, i.e. the region described by the inequalities x ≤ 0, y ≥ 0. Using the coordinate transform from part a evaluate Se−1 (2x-3y² dxdy = Here is a positive constant.
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