DUE MONDAY, APRIL 15th-YOU 2004 AP CALCULUS AB FREE-RESPONSE QUESTIONS y=g(x) 2. Let f and g be the functions given by f(x)=2x(1-x) and g(x)=3(x-1)x for 0x1. The graphs of and g are shown in the figure above. (a) Find the area of the shaded region enclosed by the graphs of f and g. y=f(x) = g(x) 0 1. Let f and g be the functions given by f(x) = 1 + sin(2x) and g(x) = e/2. Let R be the shaded region in the