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T. [9 points} {aj Please sketch the graph of t} = {m If on [1,3] using the grid below. Lahel at least 3 points on
T. [9 points} {aj Please sketch the graph of t} = {m If on [1,3] using the grid below. Lahel at least 3 points on the graph. Your goal in this problem is to nd an upper bound for 4 lie 132 do using Riemann sums. What will your strategy he"? 0 Use a left-hand sum. 0 Use a right-hand sum. 0 Break [,3] into two intervals and use a left-hand sum on one of them and a right-hand sum on the other. {h} Divide [0,3] into six suhintervals of equal length, then draw the six corresponding rectangles you s will use to nd an upper bound for f {s 1}2 do. l{:ompute the upper bound and show your a work. My upper bound is E. {c} Using Wolam Alpha, Excel or the Geogehra linlr provided in the L1 slides, what new upper hound would you obtain if you divide [3,3] into 9!] suhintervals of equal length, using the same strategy you identied in [a]? {Please round to the nearest thousandth.) Answer: My new upper bound is |:l s {d} What is the exact value of f [$- 132 rim? Show your reasoning, using the Fundamental Theorem of Calculus. D
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