\f5 pts The population of a colony of mosquitoes obeys the law of uninhibited growth, following the exponential model P = Piet . There are 1000 mosquitoes initially and 4000 mosquitoes after 1 day. Answer the following questions: (a) Using the exponential model above, solve for Po and k for this situation. (b) What is the size of the colony after 3 days?5pts Suppose 100,000 E.coli bacteria are present in a laboratory culture. An antibacterial agent is introduced and the population of bacteria P (t) decreases by half every 6 hours. a. Write the exponential function of form P (t) = Poekt that models the population of E.coli in the culture. b. When will the population decrease to 100