Find a number a so that the change of coordinates s = x + ay, t = y transforms the integral ff dady over the parallelogram R in the xy-plane into an integral S a(x, y) a(s, t) over a rectangle T in the s-t plane, where the parallelogram R has vertices (0, 0), (10, 0), (-15, 5), (-5,5 dsdt

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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1. Find a number a so that the change of coordinates s = x + ay, t = y transforms the
integral ff dxdy over the parallelogram R in the xy-plane into an integral
Ə(x, y)
Ta(s, t)
over a rectangle T in the s-t plane, where the parallelogram R has vertices (0, 0), (10, 0), (-15, 5), (-5,5)
dsdt
Transcribed Image Text:1. Find a number a so that the change of coordinates s = x + ay, t = y transforms the integral ff dxdy over the parallelogram R in the xy-plane into an integral Ə(x, y) Ta(s, t) over a rectangle T in the s-t plane, where the parallelogram R has vertices (0, 0), (10, 0), (-15, 5), (-5,5) dsdt
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