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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.
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:
Find the average value of the given function on the given interval.

(a) f(x) = 1 - 2x [0, 3]
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
Assignment p.391
#3, 5, 7, 9, 11, 12, 13
Day 5 examples

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Day 5 examples

  • 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
  • 5. Assignment p.391 #3, 5, 7, 9, 11, 12, 13