Please go step by step for every question 1. P(T)= 10,000, Where t is measured in months 1+19e^(-t/5) a) Find the fish population after five months.

Please go step by step for every question

1.    P(T)=      10,000,    Where t is measured in months

      1+19e^(-t/5)

 a) Find the fish population after five months. 

b) After how many months will the fish population be 2,000? 

c) Find the rate of change of the fish population after 10 months. 

d) Interpret your result from part c. 

2.     During a flu epidemic, it was found that the number of students on a college campus who contacted the flu t days after being exposed could be approximated by

Q (t)= (3000)/(1+499e^(-kt))

a) If 90 students had the flu by the tenth day, determine the number of students that will have contacted the flu by the 20th day. 

 b) Find  Lim Q(t) and interpret your result. 

t  -> ∞