(a) Graph f(x) = 2 sin x and g(x) = -2 sin x + 2 on the same Cartesian plane for the interval [0, 2π]. 

(b) Solve f(x) = g(x) on the interval [0, 2π], and label the points of intersection on the graph drawn in part (a). 

(c) Solve f(x) > g(x) on the interval [0, 2π]. 

(d) Shade the region bounded by f(x) = 2 sin x and g(x) = -2 sin x + 2 between the two points found in part (b) on the graph drawn in part (a).