Assume that the graph of y = f (x) consists of a semicircle of radius 2 and two line segments as shown in the picture below. Consider the function g (x) defined by g(x) = /* f(1)dt . -2 0 N 4 a) Find the point x = c where c E [-3, 4] such that g (c) is the maximum value of g (x) on the interval [-3, 4]. b) Find this maximum value