Insect Growth Rate

An insect population, initially numbering 100, increases to a population of size p\left(t\right) after a time t (measured in days).  If the growth rate at time t is given by 2t+3t^{2}, 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)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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