7. [-11 Points] DETAILS SCALC8 4.4.045. MY NOTES ASK YOUR TEACHER | PRACTICE I The area of the region that lies to the right of the yaxis and to the left of the parabola X = By y2 (the shaded region in the figure) is given by the integral 8 I (8y _ yz) dy. (Turn your head clockwise and think of the region as lying below the curve X = By y2 from y = O to y = 8.) Find the area of the region. 0 8. [-I1 Points] DETAILS SCALC8 4.4.046. MY NOTES ASK YOUR TEACHER | PRACTICE ANOTHE The boundaries of the shaded region in the figure are the yaxis, the line y = 8, and the curve y = 8%. Find the area of this region by writing x as a function of y and integrating with respect to y. Need Help? 12. [-/1 Points] DETAILS SCALC8 4.4.059. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The linear density of a rod of length 4 m is given by p(x) = 7 + 4v x measured in kilograms per meter, where x is measured in meters from one end of the rod. Find the total mass of the rod. kg Need Help? Read It Watch It 13. [-/1 Points] DETAILS SCALC8 4.4.060. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Water flows from the bottom of a storage tank at a rate of r(t) = 200 - 4t liters per minute, where 0