4.) Ever wonder why bacteria are so hard to contain ? A certain coloney of bacteria has an initinal population of 10,000. After t hours, the coloney has grown to a number P(t) given by P(t) = 10000(1+.86t + t^2).
a.) Find the growth rate (rate of change) of the population P with respect to time t. [FInd P'(t)]
b.) Find the number of bacteria present after 5 hours.
c.) Find the growth rate when t = 5
This means that at t = 5, there are ________ bacteria present, and the colony is growing at the rate of _______ per hour.
Exponential growth and rates of change are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.