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5) Use the general slicing method to find the volume of the following solid. a) The solid whose base is the region bounded by the
5) Use the general slicing method to find the volume of the following solid. a) The solid whose base is the region bounded by the curves y = x and y=2-x2, and whose cross-sections through the solid perpendicular to the x-axis are semi-circles. ETTTT V= b) The base of a solid is the semi-circular region bounded by the curves x = \\4- y and x =0. Each cross-section perpendicular to the y-axis is a right isosceles triangle with the right angle lying along the y-axis. Set up the integral to find the volume of this solid. V =
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