Question: In one research study, the population of a certain shellfish in an area at time t was closely approximated by the following graph. (a) Sketch

In one research study, the population of a certain shellfish in an area at time t was closely approximated by the following graph. J(T) 12,000 9000 6000 3000 + 2 4 6 8 10 12

(a) Sketch a graph of the growth rate of the population.

(b) The derivative of y(t) has a horizontal asymptote as t approaches infinity. What value does y′(t) approach? Interpret your answer

J(T) 12,000 9000 6000 3000 + 2 4 6 8 10 12 14 16 18 20

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