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(a) Find the slope of the tangent line to the parabola y = $2 + 4:1: at the point (1, 3). (b) Find the equation of the tangent line in part (a). Find the equation of the tangent line to the curve at the given point. y = 1 + 2x - x3, (-3, 22) y(1 point) The graph shows the position function of a car. Use the shape of the graph to answer the following questions. a. What was the initial velocity of the car? Answer: D b. Was the car going faster at B or at C? [Enter the appropriate |etter.] Answer: D c. What was the velocity of the car between D and E? Answer: D (1 point) Below is the graph of the derivative f ( ) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. (A) For what values of a in (0,8) is f(a) increasing? Answer: Note: use interval notation to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can enter the empty set as { }. (B) Find all values of a in (0,8) is where f(a ) has a local minimum, and list them (separated by commas) in the box below. If there are no local minima, enter None. Local Minima