1. Determine the area of the region bounded by y = ka8 x2 and the first quadrant when k = 3. 2 2. If the function y = ka8 x2 is rotated about the x-axis, the largest cross-sectional circular slice over the interval [0, 3] will have a radius of 8.4 centimeters. Determine the vaue of k. (Hint: The largest cross- sectional slice will be at a critical value for x.) 3. If the volume of the solid created by rotating y = kxx/8 x2 about the x-axis is 411 cubic centimeters, determine the value of k