y JJ x² + x2 DA dA R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4 y y x² + dx dy + dx dy x² + Jy/4 120 [ dy dx =

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
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R.
J
y
x² + y²
dA
JR
R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4
y
y
dx dy +
dx dy
x² + y²
x² + y²
y/4
у
-**=
dy dx =
x² + y²
Transcribed Image Text:Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R. J y x² + y² dA JR R: trapezoid bounded by y = x, y = 4x, x = 1, x = 4 y y dx dy + dx dy x² + y² x² + y² y/4 у -**= dy dx = x² + y²
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