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Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. 1. y = e 2
Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis.
1. y = e2x, x = ln(2), x = ln(2), y = 0; about the x-axis
2. y = x4/5, x = 0, y = 1 (in the first quadrant); about the y-axis
3. y = 1/x, y = 1, y = 5, x = 0; about the y-axis
4. y = |x 5| + 5, y = 0; about the x-axis
5. y = |x 3| + 3, y = 0; about the y-axis
6. y = x2 + 5, x + y = 5; about x = 4
7. y = x2/3, y = x2; about y = 1
8. y = 2/x, y = x + 3; about the y-axis
1-4 have to be exact. 5-8 are rounded to two decimals.
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