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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