Consider the following. y 16 8 0 y = f(x) 8 O R6 16 (a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 24. (i) Sample points are left endpoints. 46 = (ii) Sample points are right endpoints. R6 = (iii) Sample points are midpoints. M6 = (b) Is L5 an underestimate or overestimate of the true area? O overestimate O underestimate (c) Is R6 an underestimate or overestimate of the true area? O overestimate O underestimate (d) Which of the numbers gives the best estimate? O M6 O L6 X

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