Could i please get some help with this? It would mean a lot thank you !

Question 1: Use Maple to complete the applied project below. APPLIED PROJECT BUILDING A BETTER ROLLER COASTER Suppose you are asked to design the first ascent and drop for a new roller coaster. By study- ing photographs of your favorite coasters, you decide to make the slope of the ascent 0.8 and the slope of the drop - 1.6. You decide to connect these two straight stretches y = Li(x) and LI P y = L2(x) with part of a parabola y = f(x) = ax' + bx + c, where x and f(x) are measured in feet. For the track to be smooth there can't be abrupt changes in direction, so you want the linear segments Li and Ly to be tangent to the parabola at the transition points P and Q. (See O the figure.) To simplify the equations, you decide to place the origin at P. 1. (a) Suppose the horizontal distance between P and @ 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 Li, f, and La to verify graphically that the transitions are smooth. (d) Find the difference in elevation between P and Q. [Source: "Calculus: Early Transcendentals" by James Stewart, 8" ed, 2015]