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10. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. a) y= rtl, y=0,

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10. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. a) y= rtl, y=0, z =0, r = 2; about the x-axis b) y = =, y=0, x =1, r=4; about the x-axis c) y = el, y=0, = = -1, z=1; about z = 6 d) z = 2/y, x =0, r =9; about the y-axis e) y? = 1, x = 2y, ; about the y-axis f) y = 1 + secz, y =3; about y = 1 g) y = sinr, y = cost, OrS -; about y = =1 11. A wedge is cut out of a circular cylinder of radius 4 by two planes. One plane is perpendicular to the axis of the cylinder. The other intersects the first at an angle of 30 along a diameter of the cylinder. Find the volume of the wedge. 12. a) If the region shown in the figure is rotated about the r-axis to form a solid, use the Midpoint Rule with n = 4 to estimate the volume of the solid

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