8. Let P be the parabola with equation y - 4 -2? and let [ be the straight line with equation y - 4 - 3x. (a) Find the co-ordinates of the points in R' where the parabola, P. intersects the straight line, C. (b) Write down inequalities in z and y that describe the region enclosed by the parabola, P, and the line, C (c) Use a double integral to calculate the area enclosed between the parabola , P. and the line, C