The population of the world can be modeled by the following formula for a logistic curve N(t) = C_{1} / [1 + C_{2} * e^(- r*t)] where t approx time and r = mean annual growth rate and the C's are constants. If the asymptotic population size as time approaches infinity is K (the Malthusian constant) and the population at time zero when you start counting is some N_{0} find the constants Cand C_{2} in terms of the quantities K and N_{0} If you start at 1 billion =N 0 and guess that K = 10 billion, what are the values of and C_{1}; C_{2} ? (Solve simple algebraic equations here.)