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Let f(x) be a function which is continuous for all x. Let L100, R100 and M100 be the Riemann sums using 100 subintervals with left,
Let f(x) be a function which is continuous for all x. Let L100, R100 and M100 be the Riemann sums using 100 subintervals with left, right and middle sample points, respectively, for f on the interval [10, 20]. Which of the following statements is FALSE? If f is increasing on [10, 15) and decreasing on (15, 20], then M100 = R100. All three sums L100, R100, M100 exist. O The definite integral fin f(x ) dac exists (i.e. f is Riemann integrable on [10, 20]). O If f is increasing on 10, 20), then M100 - R100. If f is decreasing on [10, 20], then M100 2 R100
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