A baseball hit at an angle of "X" to the horizontal with initial velocity "V" has horizontal range, R , given by

$\displaystyle R = (((V^2)/g)sin(2x))$

Here "g" is the acceleration due to gravity. Sketch "R" as a function of "x" for $\displaystyle 0 <= x <= (pi/2)$ . What angle "Xmax" gives the maximum range? What is the maximum range "Rmax" ?