On the moon, all free-fall distance functions are of the form s(t)=0.81t2, where t is in seconds and s is in meters. An object is dropped from a height of 150 meters above the moon. After 9sec, consider parts (a) through (d) below. a) How far has the object fallen? b) How fast is it traveling? c) What is its acceleration? d) Explain the meaning of the second derivative of this free-fall function. The function p(t)=4t+752000t gives the population p of deer in an area after t months. a) Find p(17),p(85), and p(170). b) Find p(17),p(85), and p(170). c) Interpret the meaning of your answers to part (a) and (b). What is happening to the population of deer in the long term? Find an equation for the tangent line to the graph of y=(x316x)12 at the point (4,0) The equation of the tangent line is y= (Simplify your answer.)