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Sketch graphs of y xe-bx for b 1 2 3 4 describe the

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?

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Mathematics: Sketch graphs of y xe-bx for b 1 2 3 4 describe the

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