1) Find the slope of the tangent line to the equation f (x) = 83x (x2 + 9x) at x = 0. Make a graph of the equation and the tangent line. 2) The position of an object moving along a straight line is given by the function: I 5(1) = 3 + 5arctan[Z] , where S is measured in centimeters and t is measured in seconds. a) Calculate the object's instantaneous velocity t= 2. Include units on your answer. b) Calculate the object's acceleration at the instant t = 2. Include units on your answer. c) Describe in everyday language the behavior of the object at the instant I = 2. 3) A function has a derivative f '(x) = 3x2. What is the derivative of the inverse function? Page1l1 Q+