question 2 the bisection method is a useful root finding method to est

Question

Question 2:
The Bisection method is a useful root finding method to estimate values of unknown variables in a continuous
function. In this question, Equation 2 is the continuous function that will be used to solve for the unknown.
In Table 1, the output value (y) at a specific input (x) from the continuous function is shown. By using these
known x and y values in the Bisection method objective function, the other unknown can be estimated.
For the unknown (p):
(i)
(ii)
Use the bisection method to determine an approximation of the value of p, with an
absolute error of less than 1 x 10-6; when x = 13.61015, and y = 13257, limiting the
useable values of p between: 5.14 < p < 11.47.
For each iteration cycle through the Bisection method calculation, display:
a. the iteration cycle number,
b. the resulting value of 'p'
c. the absolute error.
Produce a plot of the correct continuous function y(x), between 0 < x < 20, using the
value of 'p', calculated in part (i) and clearly highlight the values of x and y stated in
table 1 on the figure of y(x).