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If you wish to integrate a function over the top half of the unit ball using spherical coordinates, its clear that if we describe the region of integration, p will run from 0 to 1, but what about θ and φ? 0 0 < 0 < Σπ 0 ΣΦ Σπ 0 < θ Σπ Ο Σ Φ < Σπ 0 0 < θ < 2π 0 < p < π/2 © 0 <0 <π/2 Ο Σ Φ < 2π © 0 < θ < 2π – ΣΦΩ Elev

If you wish to integrate a function over the top half of the unit ball using spherical coordinates, its clear that if we describe the region of integration, p will run from 0 to 1, but what about θ and φ? 0 0 < 0 < Σπ 0 ΣΦ Σπ 0 < θ Σπ Ο Σ Φ < Σπ 0 0 < θ < 2π 0 < p < π/2 © 0 <0 <π/2 Ο Σ Φ < 2π © 0 < θ < 2π – ΣΦΩ Elev

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If you wish to integrate a function over the top half of the unit ball using spherical coordinates, its clear that if we describe the region of integration, p will run from 0 to 1, but what about θ and φ? 0 0 < 0 < Σπ 0 ΣΦ Σπ 0 < θ Σπ Ο Σ Φ < Σπ 0 0 < θ < 2π 0 < p < π/2 © 0 <0 <π/2 Ο Σ Φ < 2π © 0 < θ < 2π – ΣΦΩ Elev
Transcribed Image Text:If you wish to integrate a function over the top half of the unit ball using spherical coordinates, its clear that if we describe the region of integration, p will run from 0 to 1, but what about θ and φ? 0 0 < 0 < Σπ 0 ΣΦ Σπ 0 < θ Σπ Ο Σ Φ < Σπ 0 0 < θ < 2π 0 < p < π/2 © 0 <0 <π/2 Ο Σ Φ < 2π © 0 < θ < 2π – ΣΦΩ Elev
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