Find positive numbers a and b so that the change of variables s = ax, t = by transforms the integral S S dx dy into a = for the region R, the elliptical region x2²/25 + y²/16 ≤ 1 and the region T, the circle s² + t² = 1. b What is (x,y) a(s,t) Ə(x,y) a(s,t) = Ə(x, y) ||, ost) in this case? ds dt

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Find positive numbers a and b so that the change of variables s =
integral SSR dx dy into
a =
b
=
for the region R, the elliptical region x²/25 + y²/16 ≤ 1 and the region T, the circle
s² + t² = 1.
What is
a(x,y)
a(s,t)
Ə(x,y)
a(s,t)
-
a(x, y)
T|ð(s, t)
in this case?
SS₁
ds dt
ax, t = by transforms the
Transcribed Image Text:Find positive numbers a and b so that the change of variables s = integral SSR dx dy into a = b = for the region R, the elliptical region x²/25 + y²/16 ≤ 1 and the region T, the circle s² + t² = 1. What is a(x,y) a(s,t) Ə(x,y) a(s,t) - a(x, y) T|ð(s, t) in this case? SS₁ ds dt ax, t = by transforms the
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