2JT p sin? pdp d0 do 2л 2 p² sino dp de do

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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p sin? ødp do dp
p² sino dp d0 dp
TT
p sin² ø dp do dø
large S So" Si
p sin? ø dp do dp
2л
p2 sin pdp do dø
了 S S
p² sin o dp do do
Transcribed Image Text:p sin? ødp do dp p² sino dp d0 dp TT p sin² ø dp do dø large S So" Si p sin? ø dp do dp 2л p2 sin pdp do dø 了 S S p² sin o dp do do
4. Set up the triple integral for the volume in spherical coordinates for the solid that lies
within the sphere p =
above the.
2,
xy-plane
and below the cone o = =
2л
p sin? pdp d0 dø
p2 sino dp do dø
p sin o dp d0 dp
large S S" S
p sin? o dp de do
2.T
p2 sin ødp de dp
Transcribed Image Text:4. Set up the triple integral for the volume in spherical coordinates for the solid that lies within the sphere p = above the. 2, xy-plane and below the cone o = = 2л p sin? pdp d0 dø p2 sino dp do dø p sin o dp d0 dp large S S" S p sin? o dp de do 2.T p2 sin ødp de dp
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