Consider the region in the first quadrant that is bounded by y =e^3x, y = 6, and the y-axis. (a) Find the coordinates of the intersection of y = e^3x and y = 6. Give your answers in exact simplified form. (b) Revolve the region around the x axis. Set up the integral needed to find the volume of the resulting solid. (c) Revolve the region around the y axis. Set up the integral needed to find the volume of the resulting solid.