let f and g be the functions given by f(x)=1/4+sin(πx)and g(x)=4-x. Let R be the shaded region in thefirst quadrant enclosed by the y-axis and the graphs of f and g,and let S be the shaded region in the first quadrant enclosed bythe graphs of f and g. a) Find the area of R. b) Find the area of S. c) Find the volume of the solid generated when S is revolvedabout the horizontal line y= -1.