The number of admissions to all types of hospitals in a country between 1989 and 1996 can be described by the function A(t) = 35.283t2-1053.78t+40,539.967 thousand people where t is the number of years after 1984. a. By how much did the number of hospital admissions change between 1990 and 1996? b. Use the model and graphical methods to find in what year after 1984 the number of admissions was equal to 32,672,000. c. Use the model to estimate the number of hospital admissions in 2001.