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 and ? 0 ≤0 ≤ 2π 0 < φ Σπ 0≤0 ≤T 0 Σ Φ < 2π 0 ≤0≤ 2π 0 < φ < π/2 0 ≤0 ≤ π/2 0 < φ < 2π 00≤0≤2T -≤ ≤ π
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 and ? 0 ≤0 ≤ 2π 0 < φ Σπ 0≤0 ≤T 0 Σ Φ < 2π 0 ≤0≤ 2π 0 < φ < π/2 0 ≤0 ≤ π/2 0 < φ < 2π 00≤0≤2T -≤ ≤ π
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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