(10 points) For the curves given by f(x) = 2x3 + 2x+x+1, g(x) = x3 + 2x+x+9 and interval [0,4]. (a) (2 points) Find where the curves intersect. (b) (2 points) Find which curve is above and which is below by some means inside [0,2] interval. (c) (6 points) Write down the correct integrals with the correct limits to find the area enclosed between these two curves.