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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. 8. ye, y=1, z=2;

 

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. 8. ye, y=1, z=2; about the x-axis 9.2y2 25, y = 2, y = 4; about the y-axis 10. Use (a) the Midpoint Rule and (b) the Trapezoidal Rule with n = 3 to approximate the integral So a dx. 11. For what values of a is the integral fear dr convergent? Find the exact length of the curve. 12. = - 1ye 13. y = In cosa, 0xa

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