Answer
s-r
Work Step by Step
To calculate the Jacobian, take the partial derivatives \frac{∂(x,y)}{∂(r,s)}, which is the determinant of a 2x2 matrix.
Simplifying the determinant will result in s-r
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 16 - Multiple Integration - 16.6 Change of Variables - Exercises - Page 904: 14
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