Write a script in the language of your choice to perform the following. (a) Define a quadratic function that has a root at √10. (b) Perform the bisection algorithm to find an approxmiation to √10 agreeing to at least 8 decimal places using your function in (a), starting on the interval [0, 10]. Return both the approximation and the number of iterations needed to get this approximation. You should not use a computer-value of √10 in your code. (c) !. If instead we wanted to approximate -√10 by bisection, would it be sufficient to just look over [-10, 0] with your function from (a)? Why/why not?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Write a script in the language of your choice to perform the following.
(a)
Define a quadratic function that has a root at √10.
(b)
Perform the bisection algorithm to find an approxmiation
to √10 agreeing to at least 8 decimal places using your function in (a),
starting on the interval [0, 10].
Return both the approximation and the number of iterations needed
to get this approximation.
You should not use a computer-value of √10 in your code.
(c) !.
If instead we wanted to approximate -√10 by bisection,
would it be sufficient to just look over [-10, 0] with your function from
(a)? Why/why not?
Transcribed Image Text:Write a script in the language of your choice to perform the following. (a) Define a quadratic function that has a root at √10. (b) Perform the bisection algorithm to find an approxmiation to √10 agreeing to at least 8 decimal places using your function in (a), starting on the interval [0, 10]. Return both the approximation and the number of iterations needed to get this approximation. You should not use a computer-value of √10 in your code. (c) !. If instead we wanted to approximate -√10 by bisection, would it be sufficient to just look over [-10, 0] with your function from (a)? Why/why not?
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