The Average
                            Value of a
                            Function ...




Trigonometry at the Forks
Consider the region S bounded between the graphs of the functions
ƒ and g.



Find the volume of the solid generated by re...
Consider the region S bounded between the graphs of the
functions ƒ and g.



Find the volume of the solid generated by re...
Consider the region S bouded between the graphs of the functions
ƒ and g.


Find the volume of the solid generated by revo...
Consider the region S bounded between the graphs of the
functions ƒ and g.


Find the volume of the solid generated by rev...
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 in...
Average Value of a Function
Definition: Let f be a function which is continuous on the
closed interval [a, b]. The average ...
AP Calculus AB March 5, 2009
Upcoming SlideShare
Loading in...5
×

AP Calculus AB March 5, 2009

406

Published on

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

Published in: Education, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
406
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
7
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

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

×