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# AP Calculus AB March 5, 2009

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More on solids of revolution; introduction to finding the average value of a function.

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### Transcript of "AP Calculus AB March 5, 2009"

1. 1. The Average Value of a Function ... Trigonometry at the Forks
2. 2. Consider the region S bounded between the graphs of the functions ƒ and g. Find the volume of the solid generated by revolving S around the x-axis.
3. 3. Consider the region S bounded between the graphs of the functions ƒ and g. Find the volume of the solid generated by revolving S around the y-axis.
4. 4. Consider the region S bouded between the graphs of the functions ƒ and g. Find the volume of the solid generated by revolving S around the line x = -3.
5. 5. Consider the region S bounded between the graphs of the functions ƒ and g. Find the volume of the solid generated by revolving S around the line x = 6.
6. 6. 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 by revolving P about: (a) the y-axis. (b) the line x=-10. (c) the line x=3.
7. 7. 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: An animated discussion ... Average Value of a Function @ Visual Calculus http://bit.ly/8FTC