1. The area of the region that lies to the right of the y-axis and to the left of the parabola x = 2y - y' (the shaded region in the figure) is given by the integral (6 (2y - y' ) dy. (Turn your head clockwise and think of the region as lying below the curve x = 2y - y' from y = 0 to y = 2.) Find the area of the region. 2 1=2y-y 0 2. If oil leaks from a tank at a rate of r() gallons per minute at time t, what does fo r() dr represent