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# Lesson 03 Appsof Integrals Mar23

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### 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