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(3) Let f, g ( R[a, b]. Show that f + g E R[a, b]. (4) Let f : [a, b] - R be a
(3) Let f, g ( R[a, b]. Show that f + g E R[a, b]. (4) Let f : [a, b] - R be a monotone function. Show that f E R[a, b]. (5) Prove the Mean Value Theorem for integrals. That is, let f E C([a, b]). Show that there exists ce [a, b] such that f(c) (b - a) = f f
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