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.

y (p) = (x² + p²x² - 10)sin (x)

For the unknown (p)

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 (1) and clearly highlight the values of x and y stated in

table 1 on the figure of y(x).