Question: A certain bacterial culture is growing so that it has a mass of t2 + 1 grams after t hours. (a) How much did

A certain bacterial culture is growing so that it has a mass of ½ t2 + 1 grams after t hours.
(a) How much did it grow during the interval 2 ≤ t ≤ 2.01?
(b) What was its average growth rate during the interval 2 ≤ t ≤ 2.01?
(c) What was its instantaneous growth rate at t = 2?

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