Shell Method
If the function below is revolved about the x­axis, find the volume of 
the solid generated between f, the x­axis, x = 0, ...
How would things be different if the function is revolved about the 
y­axis?   8
f(x) = x2                                ...
Consider the region S bounded between the graphs of the functions ƒ and g.

      f(x) = 0.5x2 ­ 2x + 4                g(x...
Consider the region S bounded between the graphs of the functions ƒ and g.

      f(x) = 0.5x2 ­ 2x + 4                 g(...
Exercise 8.3
Attachments



     cylinders
Lesson 03 Appsof Integrals Mar23
Upcoming SlideShare
Loading in …5
×

Lesson 03 Appsof Integrals Mar23

438 views

Published on

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
438
On SlideShare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
Downloads
2
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Lesson 03 Appsof Integrals Mar23

  1. 1. Shell Method
  2. 2. If the function below is revolved about the x­axis, find the volume of  the solid generated between f, the x­axis, x = 0, and x = 2 f(x) = x2 32 5
  3. 3. How would things be different if the function is revolved about the  y­axis? 8 f(x) = x2 32 5
  4. 4. Consider the region S bounded between the graphs of the functions ƒ and g. f(x) = 0.5x2 ­ 2x + 4 g(x) = 4 + 4x ­ x2 Find the volume of the solid generated by revolving S around the x­axis.
  5. 5. Consider the region S bounded between the graphs of the functions ƒ and g. f(x) = 0.5x2 ­ 2x + 4 g(x) = 4 + 4x ­ x2 Find the volume of the solid generated by revolving S around the y­axis.
  6. 6. Exercise 8.3
  7. 7. Attachments cylinders

×