Question: 1. (a) Sketch graphs of y = xe-bx for b = 1, 2, 3, 4. Describe the graphical significance of b.
(b) Find the coordinates of the critical point of y = xe-bx and use it to confirm your answer to part (a).
2. Find a formula for the family of cubic polynomials with an inflection point at the origin. How many parameters are there?