HW1_3 problem 3.13/4.1 The 'divide and average' method, an old-time iterative method for approximating the square root of any positive *+ a/x_ Write a MATLAB code (script) to find the square root of 15 number a, can be formulated as x = correct to 4 significant figures and use an fprintf statement to write your final answer to the screen. Hints: 1. Note that a=15 in this case as you are trying to find the square root of 15. Start with an initial value of x. An intelligent initial guess can be x=a/2. 2. Use a while loop to calculate the updated value of x according to the above iterative formula x = **«/x For example, if you start with x=a/2, i.e., x=7.5 initially, then the next updated value of x calculated by your code inside the while loop should be x = *a = (7.5+ 15/7.5)/2=4.75. Thus, at this stage the current value of x is *+a/x 4.75 and the old value of x is 7.5. Accordingly calculate the relative error, e, to properly construct a while loop. 3. Implement the stopping condition for 4 sig figs accuracy and display the last updated value of x as your final answer after you come out of the while loop.
HW1_3 problem 3.13/4.1 The 'divide and average' method, an old-time iterative method for approximating the square root of any positive *+ a/x_ Write a MATLAB code (script) to find the square root of 15 number a, can be formulated as x = correct to 4 significant figures and use an fprintf statement to write your final answer to the screen. Hints: 1. Note that a=15 in this case as you are trying to find the square root of 15. Start with an initial value of x. An intelligent initial guess can be x=a/2. 2. Use a while loop to calculate the updated value of x according to the above iterative formula x = **«/x For example, if you start with x=a/2, i.e., x=7.5 initially, then the next updated value of x calculated by your code inside the while loop should be x = *a = (7.5+ 15/7.5)/2=4.75. Thus, at this stage the current value of x is *+a/x 4.75 and the old value of x is 7.5. Accordingly calculate the relative error, e, to properly construct a while loop. 3. Implement the stopping condition for 4 sig figs accuracy and display the last updated value of x as your final answer after you come out of the while loop.
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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question
Pleae use matlab for this question.
Transcribed Image Text:HW1_3 problem 3.13/4.1
The 'divide and average' method, an old-time iterative method for approximating the square root of any positive
number a, can be formulated as x = 2
x+ a/x
Write a MATLAB code (script) to find the square root of 15
correct to 4 significant figures and use an fprintf statement to write your final answer to the screen.
Hints:
1. Note that a=15 in this case as you are trying to find the square root of 15. Start with an initial value of x. An
intelligent initial guess can be x=a/2.
2. Use a while loop to calculate the updated value of x according to the above iterative formula x = *+ 4/x
For example, if you start with x=a/2, i.e., x=7.5 initially, then the next updated value of x calculated by your code
inside the while loop should be x = *+a/x
4.75 and the old value of x is 7.5. Accordingly calculate the relative error, e, to properly construct a while loop.
= (7.5+ 15/7.5)/2=4.75. Thus, at this stage the current value of x is
3. Implement the stopping condition for 4 sig figs accuracy and display the last updated value of x as your final answer after
you come out of the while loop.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY