I WANT THIS HAND WRITTEN ONLY PLEASE WITH BLUE OR BLACK INK PEN ONLY WRITTEN VERY VERY CLEARLY, THANK YOU.

2} A projectile is launched into the air from the top of a 200 foot tall building. Find the average value ofthe function h{t} = 16t2 + 35E + 200 from t = U to t = 4 . In this situation, t is measured in seconds and hit] is the height of the projectile in feet. Show your work. 3} Suppose that the function f is continuous over the interval [2, 5]. Can we be certain that there exists a number c in the interval [2, 5] such that: flc) = i I: f(x) {ix ? Justify your answer with an appropriate explanation