A contaminated lake is treated with a bactericide. The rate of increase in harmful bacteria t days

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A contaminated lake is treated with a bactericide. The rate of increase in harmful bacteria t days after the treatment is given by

where N(t) is the number of bacteria per milliliter of water. Since dN/dt is negative, the count of harmful bacteria is decreasing.

(A) Find the minimum value of dN/dt.

(B) If the initial count was 5,000 bacteria per milliliter, find N(t) and then find the bacteria count after 5 days.

(C) When (to two decimal places) is the bacteria count 1,000 bacteria per milliliter?

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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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