8. Let a, b R, a < b. Let n Z+. Suppose that f bounded on...

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8. Let a, b R, a < b. Let n Z+. Suppose that f bounded on [a, b]. Let P = {x} be any partition of [a, b]. Calculate L(f, P) and U(f, P) for the following functions over [a, b]. Simplify as much as possible. Make sure to justify your work, especially your m; and M; computations. (a) f(x) = 2 if x = Q and f(x) = 1 if x & Q. (b) f(x) = |x|. 8. Let a, b R, a < b. Let n Z+. Suppose that f bounded on [a, b]. Let P = {x} be any partition of [a, b]. Calculate L(f, P) and U(f, P) for the following functions over [a, b]. Simplify as much as possible. Make sure to justify your work, especially your m; and M; computations. (a) f(x) = 2 if x = Q and f(x) = 1 if x & Q. (b) f(x) = |x|.

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Answer a Since fx 2 if x Q and fx1 if x Q and the value of f can ... View the full answer