Solution Found!
Using the transformation T: x = u + v, y = u v, the image
Chapter 14, Problem 3E(choose chapter or problem)
QUESTION:
Using the transformation T: x = u + v, y = u - v, the image of the unit square \(S=\{(u, v): 0 \leq u \leq 1,0 \leq v \leq 1\}\) is a region R in the xy-plane. Explain how to change variables in the integral \(\iint_{R} f(x, y) d A\) to find a new integral over S.
Questions & Answers
QUESTION:
Using the transformation T: x = u + v, y = u - v, the image of the unit square \(S=\{(u, v): 0 \leq u \leq 1,0 \leq v \leq 1\}\) is a region R in the xy-plane. Explain how to change variables in the integral \(\iint_{R} f(x, y) d A\) to find a new integral over S.
ANSWER:Solution 3EFirst we compute the Jacobian (,)