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More Approximations Left-hand sum: use rectangles, left endpoint used for height Right-hand sum: use rectangles, right endpoint used for height Midpoint rule: use rectangles, midpoint used for height Trapezoid rule: use trapezoids
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Ex. Approx. using midpoint rule, n = 3.
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Ex. Approx. using trapezoid rule, n = 3.
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Ex. For each of the previous examples, did we get an overestimate or an underestimate of the true value? Why?
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Ex. Given values in the table, approximate using MID(4) and TRAP(4).
1 2 3 4 5 6 7 8 f (x) -1 9 14 16 20
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Your next chapter test will be on Wednesday.
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