Question

Consider the following.

(a) Use six rectangles to find estimates of each type for the areaunder the given graph of f from x = 0 to x = 12.
(i) Sample points are left endpoints.
L6 =

(ii) Sample points are right endpoints.
R6 =

(iii) Sample points are midpoints.
M6 =

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

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

(d) Which of the numbers gives the best estimate?
R6
M6
L6