009B Sample Final 2, Problem 3

Find the volume of the solid obtained by rotating the region bounded by the curves $y=x$ and $y=x^{2}$ about the line $y=2.$

Foundations:

Solution:

(a)

Step 1:

Step 2:

(b)

Step 1:

Step 2:

(c)

Step 1:

Step 2:

Final Answer:
(a)
(b)
(c)

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