Consider the iterated integral = 1²³ 1²²³ 6² 3r dz dr d0. Denote by G the solid of integration of the integral I, which is bounded by a portion of a sphere S₁ and a circular cylinder S₂. a. Sketch the solid G. b. Find an equation in spherical coordinates for S₂. c. Use a triple integral in spherical coordinates to show that I = 4TT. I = r2√5 20-2
Consider the iterated integral = 1²³ 1²²³ 6² 3r dz dr d0. Denote by G the solid of integration of the integral I, which is bounded by a portion of a sphere S₁ and a circular cylinder S₂. a. Sketch the solid G. b. Find an equation in spherical coordinates for S₂. c. Use a triple integral in spherical coordinates to show that I = 4TT. I = r2√5 20-2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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