6. Let XCR" be a compact connected Jordan and suppose that f is a continuous on X. Prove that there exists an xo EX such that [ f = f(xo) V (X) where V is the volume of X. Using this result, if D is a disk in R2 with center a and radius , prove that 1 7/7/²2 [₁ f = f(a). lim r 50 πρ2
6. Let XCR" be a compact connected Jordan and suppose that f is a continuous on X. Prove that there exists an xo EX such that [ f = f(xo) V (X) where V is the volume of X. Using this result, if D is a disk in R2 with center a and radius , prove that 1 7/7/²2 [₁ f = f(a). lim r 50 πρ2
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 21E: [Type here]
21. Prove that ifand are integral domains, then the direct sum is not an integral...
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