Answer both

5. Suppose the acceleration of an object at t seconds is given by a(t) = 10 3Vt + 4e . The if v' (t) = a(t) initial velocity of the object is 2 ft/sec. Find a formula for the velocity, v(t), of the object 6. Consider the function y = -x + 2, y = -2x + 2 and y = 0. Find the volume of the solid generated when the region bounded by the curve and the x-axis is rotated about the x-axis. Give the exact answer and the answer rounded to the nearest tenth