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
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:
b
a
f(x)dx=f(c)(ba)
The average value of a function on the interval[a;b]
is determined byAveragevalue=1
ba
b
a
f(x)dx
The efficiencye
(in % ) of an automobile engine is given bye=0.768s0.00004s
3
, wheres
is the speed (in km/h) of the car. Find the average efficiency with respect to the speed fors=3{[a]}
km/h tos=8{[d]}
km/h. Round the answer to one decimal place.
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