Communication: 1. Explain what a derivative of a function represents: Mark: 3 2. Explain how the product rule can be used instead of the quotient rule on the function: y = (3 + x) I (2x 9) Mark: 3 3. For the function f(x) below at What points can the limit not determined? Why can the limit not be determined at these values? Mark 4: ' 1. A rocket's height above ground is modeled by h(t) = -4.9t2 + 9.8t with height in metres and t in seconds. a) When does the rocket hit the ground after being launched? b) When is the rocket traveling at 9.8m/s down? c) When is the rocket traveling at 9.8m/s up? (1) What do these velocities represent? e) How fast is the rocket traveling after 1 second? t) What is the average speed of the rocket over the rst second? Mark: 6 2. Determine the equation of the normal to the tangent of the curve y = 3x / (x2 - l) ax=3 Mark: 3 Let f(z) = 4 if x * 4 x - 4 0.25 if x = 4. Which of the following statements is (are) true? I. lim f(x) exists II. f(4) exists III. f is continuous at x = 4 Explain your