al the Taylor rals xercises revolution and evaluate the integral using appropriate technology If not possible explain why 8 Consider the curves given by y sin x and y cos x For each of the following problems you should include a sketch of the region solid being considered as well as a labeled representative slice a Sketch the region R bounded by the y axis and the curves y sin x and y cos x up to the first positive value of x at which they intersect What is the exact intersection point of the curves b Set up a definite integral whose value is the exact area of R c Set up a definite integral whose value is the exact volume of the solid of revolution generated by revolving R about the z axis d Set up a definite integral whose value is the exact volume of the solid of revolution generated by revolving R about the y axis e Set up a definite integral whose value is the exact volume of the solid of revolution generated by revolving R about the line y 2 f Set up a definite integral whose value is the exact volume of the solid of revolution generated by revolving R about the line x 1