The height of a particle can be modeled by the function h(t) = 4.2t -0.4^4. (a) Sketch a reasonable graph of the function. Be sure to consider all critical points. (b) Based on your sketch, what is the derivative of h at the projectile's highest point? (c) In this real-world context, what does h 0 (t) represent? (d) Determine the time at which the projectile reaches its greatest height. (e) Determine the maximum height of the projectile