An insect population, initially numbering 100, increases to a population of size after a time (measured in days). If the growth rate at time is given by , determine the size of the insect population after:
(a) 1 day,
(b) 10 days.
Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 6: Question 3(iv), p. 22)