Find F '(x). sin(x) F(x) = 7vt dt F'(X) =Find F'(x). x 1 F( x) = dt +5 F'(x )At 1:00 PM. (t = 0), oil begins leaking from a tank at a rate of (3 + 0.64t) gallons per hour. (Round your answers to three decimal places.) (a) How much oil is lost from 1:00 RM. to 4:00 P.M.? (b) How much oil is lost from 4:00 RM. to 7:00 P.M.? (c) Compare your answers from parts (a) and (b). What do you notice? The second answer is because the rate of flow is . The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = 6 cos(t), O S t S 37: (a) Find the displacement. |:lit (b) Find the total distance that the particle travels over the given interval. |:|it