Homework 1
Please show your calculations and then show the iterations and solutions in a table.
This is a group homework, all of the students must solve the homework but only one solution
paper must be sent for each groups.
Question 1. (10 points)
Find the root of the following polynomial function using the bisection method:
x3– 4x – 9 try for x=0, x=1, x=2 and x=3 and decide where the root lies and start your
iterations between the interval where the root lies.
Question 2. (15 points)
Find a root for the equation 2ex"sin x = 3 using the false position method and correct it
to three decimal places with three iterations.
Question 3. Determine the real root of:
f (x) = −26 + 85x − 91x2 + 44x3 − 8x4 + x5
a) Using bisection to determine the root to εs = 10%. Employ initial
guesses of xl = 0.5 and xu = 1.0. (20 points)
b) Perform the same computation as in (a) but use the false position
method and εs = 0.2 %.
(20 points)
c) Perform the same computation as in false position method and εs = 0.2 % in excel.
(20 points)
Hint: You can find an example from this link:
https://www.youtube.com/watch?v=SWlVSc9g1eE
Question 4. (15 points)
Find the root of the following polynomial function using the bisection method. Solve the
problem in excel.
x3– 4x – 9
Hint: You can find an example from this link:
https://www.youtube.com/watch?v=2xrDJ-7qGpk