Question
The population of a slow growing bacterial culture can be represented by the function P(t)=t^2-0.7t+10, where t is measured in seconds.
a) Determine the populations of bacteria at 2.5 seconds.
b) Determine the average rate of change in the bacteria population over the interval from 0 to 2.5.
c) Estimate the instantaneous rate of change in the bacteria population at exactly 2.5 seconds. (use 0.1 centered interval)
a) Determine the populations of bacteria at 2.5 seconds.
b) Determine the average rate of change in the bacteria population over the interval from 0 to 2.5.
c) Estimate the instantaneous rate of change in the bacteria population at exactly 2.5 seconds. (use 0.1 centered interval)