NAME ___________________________ 3 (2) The base of a solid is the region enclosed by ? = 4 and ? = ?2. Cross sections perpendicular to the ?-axis as equilateral triangles. (a) Sketch the region and a...

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NAME ___________________________ 3 (2) The base of a solid is the region enclosed by ? = 4 and ? = ?2. Cross sections perpendicular to the ?-axis as equilateral triangles. (a) Sketch the region and a typical cross section. (b) Find the volume of the solid. (3) (Disc Method) Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the ?-axis. ? = √9 − ?2 NAME ___________________________ 4 (4) (Washer Method) Find the volume of the solid formed by revolving the region bounded by the graphs of ? = √? and ? = ?2 about the ?-axis. Sketch the region and the solid. (5) Determine whether the series converges or diverges. NAME ___________________________ 5 (6) Use the Ratio Test to determine if the following series converges absolutely or diverges. (7) Use the Root Test to determine if the following series converges or diverges. NAME ___________________________ 6 (8) Find the Maclaurin polynomial of degrees 1, 2, 3, 4 for the function ?(?) = ?2?.