Question 1:

5. Given the function f (x) = 2x2 - x and f' (x) = 4x - 1 a. Write the equation of the tangent line to f (x) at x = 2.1. Use the graph of the function f (x) shown to the right to determine. Justify your answers a. All values of x where f (x) is not continuous: b. All values of x where f (x) is not differentiable:\f2. The velocity of a rider on a Ferris wheel at an amusement park is modeled by the differentiable function, V(t). The time, t, is measured in seconds after the ride starts. The table gives the values for one complete continuous revolution of the Ferris wheel. t 0 5 10 15 20 25 30 35 40 45 50 55 60 time in seconds V(t) 0 1.6 2.7 3.1 2.7 1.6 0 -1.6 -2.7 -3.1 -2.7 -1.6 0 velocity in- feet second b. Use the data in the table to approximate the instantaneous rate of change at t = 42 seconds by finding V'(42). Show the computations that lead to your answer. Using appropriate units, explain the meaning of your answer in the context of the problem. c. Based on the data in the table, what is the smallest number of instances the Ferris wheel is traveling at a velocity of -2 ft/sec ? Justify your