4 16. This question is worth 30 points. You must complete all three parts. Parts (a), (b), and (c) are not related and should be answered as separate, distinct problems. (a) (10 points) What is the volume of a region created by rotating an isoceles triangle with base 5m and height 6m around an axis that is parallel to the base and 4m away from it? (b) (10 points) Find the first four terms of the Macluarin series for arcsine by use of the fact that arcsin(2) - V1-2 (c) (10 points) A water trough is constructed with flat ends whose widths are given by y = 2x2, -1