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).  Fig: 1