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) / (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: 10 8 6. 4 2 . -10 -3 101. A rocket's height above ground is modeled by h(t) = -4.912 + 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? d) What do these velocities represent? e) How fast is the rocket traveling after 1 second? f) What is the average speed of the rocket over the first second? Mark: 6 2. Determine the equation of the normal to the tangent of the curve y = 3x / (x2 - 1) at x = 3 Mark: 3 3. Evaluate the following limits: Mark: 6 x2 + 12x + 32 a) lim x -+ - 4 x + 4 4 - V 12 + x lim b) x -+ 4 X