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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)

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