3. (20 points) Use the graph of g(t) = G'(t) below to answer the following. Make sure to show work and justify your answer! Note: the given graph g(t) is the derivative of G(t). 8 (1) Area = 2 Area = 16 2 3 Area = 8 a. (3 points) So g(t) dt b. (3 points) So g(t) dt (Assume the area from 2 to 3 is equal to the area from 3 to 4) c. (7) Where is G (t) decreasing? Where is G(t) concave down? d. (7) Suppose G(0) = 2, at what value t = a, does G(t) have a local maximum and if so, what is the function's value there