3. Small countries trying to develop an industrial economy rapidly often try to achieve their objectives by importing foreign capital and technology. Statistics Canada data show that when Canada attempted this strategy from 1867 to 1967, the amount of U.S. investment in Canada increased from about $15x10 to $280305x10. This increase in foreign investment can be represent by the simple mathematical modelC(t) = 0.015 > 10%e0.07533t, where t represents the number of years (starting with 1867 as zero) and C represents the total capital investment from U.S. sources in dollars. (B2.3 B2.4 B2.5) (k/u,t,c,a) (Spoints) a. Graph the curve for the 100-year period. (B2.2) b. Compare the growth rate of U.S. investment in 1949 with the rate in 1953. c. Determine the growth rate of investment in 1967 as a percent of the amount invested. d. If this model is used up to 1975, calculate the total U.S. investment and the growth rate in this year. e. If the model is used up to 2017, calculate the expected U.S. investment and the expected growth rate