# The concentration of pollutant bacteria c in a lake decreases according to c = 75 e 1.5t + 20 e

## Question:

The concentration of pollutant bacteria c in a lake decreases according to c = 75*e*^{–1.5t} + 20 *e*^{– 0.075t}

Determine the time required for the bacteria concentration to be reduced to 15 using

(a) The graphical method and

(b) Using the Newton-Raphson method with an initial guess of t = 6 and a stopping criterion of 0.5%. Check your result.

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## Step by Step Answer:

**Related Book For**

## Numerical Methods For Engineers

**ISBN:** 9780071244299

5th Edition

**Authors:** Steven C. Chapra, Raymond P. Canale

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