At Cirque du Soleil, one acrobat is on a trapeze that follows a path described by the equationy=0.5x2+6 Vertically below, another acrobat is about to jump from a trampoline, following a path described by the equationy=4xx2 Use optimization techniques to find the optimal point where the two acrobats should grab hold of each other (i.e. the xcoordinate of the shortest vertical distance between the two curves). Show a diagram with the two trajectory curves. Show the acrobats as points on the curves, in the optimal position.