(a) Suppose the horizontal distance between P and Q is 100 ft. Write equations in a, b, and c that will ensure that the track is smooth at the transition points (b) Solve the equations in part (a) for...

(a) Suppose the horizontal distance between P and Q is 100 ft. Write equations in a, b, and c that will ensure that the track is smooth at the transition points
(b) Solve the equations in part (a) for a, b, and c to find a formula for f (x).
(c) Plot L1, L2, and to verify graphically that the transitions are smooth.
(d) Find the difference in elevation between P and Q.