***MUST USE MATHEMATICA TO DO THIS******** PAPER ANSWERS ARE NOT HELPFUL************

A television camera is mounted on a stand 2 feet high. It is positioned 15 feet behind home plate (see figure). A batter hits the ball in a path directly away from the camera modeled by the equation: y = -0.002x^2 + 0.577x + 3.

(a) Write the angle of elevation 9 of the camera as a function of x (do not use Mathemotica).

(b) Graph the path of the ball and the angle of elevation function from part (a) on two separate graphs. Make the second graph directly below the first one and to the same horizontal scale for comparison purposes.

(c) Find the maximum height of the ball and the maximum angle of elevation of the camera.