Section 4.9 1. (a) Use your calculator to fill in the following table: -2 -1 0 2 1 y = -1x2 Use it to find five points on the "bell curve" graph of y = e- 2x2 (the normal density function) V2 IT which is one of the most important functions in statistics.or :() 16 )mill 2. With f (t) = Aa', if f (t + 1*) = 2f(1), prove that a" = 2. (This shows that the doubling time * of the general exponential function is independent of the initial time t.) 3. Suppose that all prices rise at the same proportional rate in a country whose inflation rate is 19% per year. For an item that currently costs Po, use the implied formula P(t) = Po(1.19)' for the price after t years in order to predict the prices of: (a) A 20 kg bag of corn, presently costing $16, after 5 years. (b) A $4.40 can of coffee after 10 years. (c) A $250 000 house after 4 years. Page 5/8