1. Review
Consider the region P bounded by the graph
of the function ƒ between x=-8 and x=-5.
Set up, but do not evaluate, the integral that
represents the volume of the solid generated
(a) the y-axis. (b) the line x=-10. (c) the line x=3.
2. Average Value of a Function
Definition: Let f be a function which is continuous on the closed
interval [a, b]. The average value of f from x = a to x = b
is the integral:
3. Find the average value of the given function on the given interval.
(a) f(x) = 1 - 2x [0, 3]
4. Let y = f(x) be a function which is continuous on the closed interval
[a, b]. Then there exists c in the closed interval [a, b] such that