The area of a region under a curve is greater than the area of an inscribed rectangle and less than the area of a circumscribed rectangle. Intuitively, we understand that somewhere between the inscribed and circumscribed rectangles there is a rectangle whose area is precisely equal to the area of the region under the curve:

abf(x)dx=f(c)(ba)

The efficiencye

(in % ) of an automobile engine is given bye=0.768s0.00004s3

, wheres

is the speed (in km/h) of the car. Find the average efficiency with respect to the speed fors=32

km/h tos=88

km/h. Round the answer to one decimal place.

Please show work with explanations!