3. Let S be the sphere of radius R. (a) Argue by symmetry that [[₁,²³² ds = [[ ²³ ds = [[, 2²¹ ds. JJ₁ x² ds with very little computation, i.e. you don't need to explicitly calculate any integral using a parametrization. (b) Use this fact to compute
3. Let S be the sphere of radius R. (a) Argue by symmetry that [[₁,²³² ds = [[ ²³ ds = [[, 2²¹ ds. JJ₁ x² ds with very little computation, i.e. you don't need to explicitly calculate any integral using a parametrization. (b) Use this fact to compute
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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