Reference no: EM131669225

Question:

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:

_a∫^b f(x) dx = f(c)(b-a)

The average value of a function on the interval [a;b]is determined by

Average Value = (1/b-a) _a∫^bf(x)dx

The efficiency e (in % ) of an automobile engine is given by e = 0.768s - 0.00004s³, where s is the speed (in km/h) of the car. Find the average efficiency with respect to the speed for S = 32 km/h to S = 83 km/h. Round the answer to one decimal place.