48. Whooping Cranes Based on data from the US. Fish and Wildlife Service, the population of whooping cranes in the Aransas-Wood Buffalo National Park can be approximated by a logistic function with k=6.01X105,I = 0.U1 X 1U ', with a population in 1958 of 32 and a maximum population of 787. Source: U.$. Fish and Midlife Service. (a) Find the growth function Gltj for the whooping crane population, where tis the time since 1938, when the park first started counting the cranes. (b) Find the initial population G0 sub 0 Find the population and rate of growth in the following years. (c) 1945 (cl) 1985 (e) 2005 (f) What happens to the rate of growth over time