2. (a) Let f(1) = Ae" and g(1) = Best, with A > 0. B > 0, and r # s. Solve the equation f (1) = 8(1) for t. (b) In 1990 the GNP (gross national product) of China was estimated to be 1.2. 1012 US dollars, and the rate of growth was estimated to be r = 0.09. By comparison, the GNP for the USA was reported as $5.6. 1012, with an estimated rate of growth of s = 0.02. If the GNP of each country continued to grow exponentially at the rates r = 0.09 and s = 0.02, respectively, when would the GNP of the two nations be the same