Question: (a) Use six rectangles to find estimates of each type for the area under the given graph of f from x 0 to x

(a) Use six rectangles to find estimates of each type for the area under the given graph of f from x − 0 to x − 12.

(i) L6 (sample points are left endpoints)

(ii) R6 (sample points are right endpoints)

(iii) M6 (sample points are midpoints)

(b) Is L6 an underestimate or overestimate of the true area?

(c) Is R6 an underestimate or overestimate of the true area?

(d) Which of the numbers L6, R6, or M6 gives the best estimate? Explain.4 8 YA 0 4 | y= f(x) 8 12 x

4 8 YA 0 4 | y= f(x) 8 12 x

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