Question: 1. Assume that f is an increasing, nonnegative function on [a, b]. What can be concluded about the relationships among LRAMn f, RRAM, f, and

 1. Assume that f is an increasing, nonnegative function on [a,

b]. What can be concluded about the relationships among LRAMn f, RRAM,

1. Assume that f is an increasing, nonnegative function on [a, b]. What can be concluded about the relationships among LRAMn f, RRAM, f, and the area on [a, b]? 2. Assume that f is a decreasing, nonnegative function on [a, b]. What can always be concluded about the relationships among LRAMn f, RRAM, f, and the area on [a, b]? 3. Prove or disprove the following statement: MRAM, f is the average of LRAM, f and RRAM, f. Give specific examples. 4. Given the function f(x) = 2x over the interval [0, 3], explain how to find a formula for the Riemann sum obtained by dividing the interval into n subintervals and using the right-hand endpoint for each cj. Then take a limit of these sums as n approaches infinity to calculate the area under the curve over the interval

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