3. The Laberal party are closely tracking their popularity through a 3 week election campaign. They find that on day d of the campaign the percentage of people who would vote for them is v(d) = , (d4 - 40d3 + 594d2 - 3888d + 13480). Consider v as a function of real values, v : [0, 21] - R. (a) What are the domain and codomain of v? [1] (b) Find all stationary points of v. [2] (c) Classify each stationary point of v as a local minimum, local maximum or neither. [2] (d) What is the range of v? [2] (e) Over which intervals in its domain is v a convex function? [2]