If the instantaneous rate of change of a population (P) is given by

15t2−33t32

(measured in individuals per year) and the initial population is 24000 then evaluate/calculate the following.

Use fractions where applicable such as (5/3)t to represent 53t as oppose to 1.67t.

a)

What is the population after t years?

P=

Submit part

b)

What is the population after 15 years? Round up your answer to whole people.

P15=