4. Let S be a sphere of radius r and P a point inside or outside the sphere. Show that 1 √√₂₁ P |dx| S ds {477²/d if Pis outside s where d is the distance from P to the center of the sphere and the integration is over the sphere. (Hint: One possible way to do this is to assume that P is on the z-axis. Then change variables and evaluate. You need to explain why this assumption on P is allowed.)
4. Let S be a sphere of radius r and P a point inside or outside the sphere. Show that 1 √√₂₁ P |dx| S ds {477²/d if Pis outside s where d is the distance from P to the center of the sphere and the integration is over the sphere. (Hint: One possible way to do this is to assume that P is on the z-axis. Then change variables and evaluate. You need to explain why this assumption on P is allowed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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