Advanced Calculus The Calculus Coaster Calculus Coaster Company has just hired you to create the new craziest adventure on wood. You are to build a wooden rollercoaster that is to rank up there with the rest of the world as one of the highest with one of the longest drops. The company already hired out Brilliant Bob to design the coaster. He has drawn a coaster full of mathematical equations (see below). Being the architect, Bob is done with his job. He has designed the look of the coaster. Being the civil engineer, you must actually build the rollercoaster. That means you have to solve for the 10 unknowns in Bob's design. You have to make sure each function connects to its neighboring functions and that the track runs smooth. In calculus terms, you have to find the coefficients that make the coaster continuous and differentiable. N(x - 99)cos = (x - 109)] + P Ex' + Fx' + 8100x - 66155 972x + D KVx - 84+ M W Gsin = (x - 55) + H 20 55 85 109 125 Ax- - 1085 THE CALCULUS COASTER