6. The estimated population of a bacteria colony is given by the function P(t) = 20 + 61t + 3t^2, where the population P is measures in thousands at t-hours. a) What is the rate of bacteria from 2 to 5 hours? b) At what rate is the population changing at 8 hours? 7. a. What information do the left-hand limit and right-hand limit provide about the function of the graph. b. When does the limit of a function exist and when does it not exist?
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Step 1: Calculate the rate of change of the bacteria population from 2 to 5 hours using the formula P(t) = 20 + 61t + 3t^2. Show more…
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