Please show all your work! Answers without supporting work will not be given credit. Write answers in spaces provided. Name: (1) A stone was thrown vertically upwards from a balcony that is 32 feet above the ground with the initial velocity of 16 ft/sec. Assume that the height h(t) of the stone at time t (in seconds) follows the general position of a free-falling object h(t) = -16t2 + vot + ho where vo is the initial velocity and ho is the initial height. [10pts] (a) When does the stone hit the ground? [5pts] (b) What is the velocity of the stone when it hits the ground? [5pts] (2) Sketch the graphs of given equations and state their period. Indicate all x and y intercepts. [13pts] (a) y = 2 sin(x + 7/2). [4pts] (b) y = cos(Tax) +1. [5pts] (c) y = tan(x/2). [4pts] 200 (3) Assume that we are selling a product at a price of p(x) = What is the (x + 2) marginal revenue? [5pts] (4) Find the derivatives of given functions. [10pts] (a) f(2) = Va+ (1/x) 1 +x [5pts] (b) f(x) = (x+1)(x+2) [5pts]