Newton-Raphson method
The concentration of pollutant bacteria c in a lake decreases according to
c = 75e−1.5t + 20e−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.
Newton-Raphson method