A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number

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A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number of bacteria is given approximately by

N(t) = 1,000 + 30t2 - t3 0 ≤ t ≤ 20

(A) When is the rate of growth, N′1t2, increasing? Decreasing?

(B) Find the inflection points for the graph of N.

(C) Sketch the graphs of N and N′ on the same coordinate system.

(D) What is the maximum rate of growth?

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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