Question

Write a function called falsePosition that takes the following inputs \begin{itemize} \item f the equation whose root is to be determined \item xl the lower bound of the search interval \item xu the upper bound of the search interval \item eTolerance the error tolerance in percentages \item maxlteration the maximum numbers of iterations \end{itemize} It then returns a Pandas DataFrame called result which contains the results from all iterations and has the following columns. \begin{itemize} \item iteration the iteration number \item xl the lower bound of the search interval \item xu the upper bound of the search interval \item xr the new root \item relative error the calculated relative error \end{itemize} Your function needs to compute the root iteratively using the False position method until the error tolerance condition has been met or the number of iterations has exceeded the maximum number of iterations. Using the False position method, the new root, $x_r$, is computed as $x_r = x_u - f(x_u)\frac{(x_l-x_u)}{f(x_l)-f(x_u)}$ def falsePosition(func, xl, xu, e_tolerance, max_iterations):

          Write a function called falsePosition that takes the following inputs
\begin{itemize}
    \item f the equation whose root is to be determined
    \item xl the lower bound of the search interval
    \item xu the upper bound of the search interval
    \item eTolerance the error tolerance in percentages
    \item maxlteration the maximum numbers of iterations
\end{itemize}
It then returns a Pandas DataFrame called result which contains the results from all iterations and has the following columns.
\begin{itemize}
    \item iteration the iteration number
    \item xl the lower bound of the search interval
    \item xu the upper bound of the search interval
    \item xr the new root
    \item relative error the calculated relative error
\end{itemize}
Your function needs to compute the root iteratively using the False position method until the error tolerance condition has been met or the number of iterations
has exceeded the maximum number of iterations.
Using the False position method, the new root, $x_r$, is computed as $x_r = x_u - f(x_u)\frac{(x_l-x_u)}{f(x_l)-f(x_u)}$
def falsePosition(func, xl, xu, e_tolerance, max_iterations):

Write a function called falsePosition that takes the following inputs

* f the equation whose root is to be determined

* xl the lower bound of the search interval

* xu the upper bound of the search interval

* eTolerance the error tolerance in percentages

* maxlteration the maximum numbers of iterations

It then returns a Pandas DataFrame called result which contains the results from all iterations and has the following columns.

* iteration the iteration number

* xl the lower bound of the search interval

* xu the upper bound of the search interval

* xr the new root

* relative error the calculated relative error

Your function needs to compute the root iteratively using the False position method until the error tolerance condition has been met or the number of iterations
has exceeded the maximum number of iterations.
Using the False position method, the new root, xr, is computed as xr = xu - f(xu)((xl-xu))/(f(xl)-f(xu))
def falsePosition(func, xl, xu, etolerance, maxiterations):

Added by Francisca N.

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