The population of algae on a Petri dish is dying from exposure to a potent toxin.

Its population follows the equation:

P(t) = 70,000(3 + 3e^-0.06t+te^-0.06t)

(a)What is the initial population of the algae? (i.e. att= 0, when the toxin is introduced)

(b)What is the maximum algae population?

(c)Find the limit of the population as t