The population P (in thousands) of colony of rabbits at a time(t) years is given by P(t)=a+2e-bt , t>0 where a and b are positive constants. If it is given that the initial population is 5,000 rabbits and one year later, this population has reduced by 4000, find the following. (a)the value of a and b. (b) the time when the population becomes three-quarters of the initial population. (c) the time when there is no change in the rabbit population as time changes.. Explain your answer