Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Open with Numerical method 8. (Note: This question does not ask you to implement the algorithm. You do the calculation manually. This question tests your understanding of the algorithm.) Refer to the Pseudocode for Bisection Method. Suppose we want to use this algorithm to find a root of f(x)3(x+1)(x-3), and we input tolerable error e = 0.0001. a. Among the following pairs of initial guesses for x0 and x1, choose the correct pair: (x0=0, x1=1), (x0=0, x1=2), (x0=1, x1=2), (x0=2, xl=4). b. Use the correct input to calculate x2. c. Calculate f(x2). d. According to the value of f(x2), should we replace x0 with x2, or replace x1 with x2? e. What is the next step of the algorithm? Will it continue the loop, or stop the loop? Why it will do so? Pseudocode for Bisection Method 1. Start 2. Define function f(x) 3. Input a. Lower and Upper guesses x0 and x1 b. tolerable error e 4. If f(x0)*f(x1) > 0 print "Incorrect initial guesses" goto 3 End If 5. Do x2 = (x0+x1)/2 If f(x0)*f(x2) < 0 x1 = x2 Else x0 = x2 End If while abs(f(x2)) > e 6. Print root as x2 7 Ston

Open with Numerical method 8. (Note: This question does not ask you to implement the algorithm. You do the calculation manually. This question tests your understanding of the algorithm.) Refer to the Pseudocode for Bisection Method. Suppose we want to use this algorithm to find a root of f(x)3(x+1)(x-3), and we input tolerable error e = 0.0001. a. Among the following pairs of initial guesses for x0 and x1, choose the correct pair: (x0=0, x1=1), (x0=0, x1=2), (x0=1, x1=2), (x0=2, xl=4). b. Use the correct input to calculate x2. c. Calculate f(x2). d. According to the value of f(x2), should we replace x0 with x2, or replace x1 with x2? e. What is the next step of the algorithm? Will it continue the loop, or stop the loop? Why it will do so? Pseudocode for Bisection Method 1. Start 2. Define function f(x) 3. Input a. Lower and Upper guesses x0 and x1 b. tolerable error e 4. If f(x0)*f(x1) > 0 print "Incorrect initial guesses" goto 3 End If 5. Do x2 = (x0+x1)/2 If f(x0)*f(x2) < 0 x1 = x2 Else x0 = x2 End If while abs(f(x2)) > e 6. Print root as x2 7 Ston

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Topic Video
Question
Open with Numerical method 8. (Note: This question does not ask you to implement the algorithm. You do the calculation manually. This question tests your understanding of the algorithm.) Refer to the Pseudocode for Bisection Method. Suppose we want to use this algorithm to find a root of f(x)=(x+1)(x-3), and we input tolerable error e a. Among the following pairs of initial guesses for x0 and x1, choose the correct pair: (x0=0, x1=1), (x0=0, x1=2), (x0=1, x1=2), (x0=2, x1=4). b. Use the correct input to calculate x2. c. Calculate f(x2). d. According to the value of f(x2), should we replace x0 with x2, or replace xl with x2? = 0.0001. %3D What is the next step of the algorithm? Will it continue the loop, or stop the loop? Why it will do so? е. Pseudocode for Bisection Method 1. Start 2. Define function f(x) 3. Input a. Lower and Upper guesses x0 and x1 b. tolerable error e 4. If f(x0)*f(x1) > 0 print "Incorrect initial guesses" goto 3 End If 5. Do x2 = (x0+x1)/2 If f(x0)*f(x2) < 0 x1 = x2 Else х0 %3D х2 End If while abs(f(x2)) > e 6. Print root as x2 7. Stop 2 I 3 + Page
Transcribed Image Text:Open with Numerical method 8. (Note: This question does not ask you to implement the algorithm. You do the calculation manually. This question tests your understanding of the algorithm.) Refer to the Pseudocode for Bisection Method. Suppose we want to use this algorithm to find a root of f(x)=(x+1)(x-3), and we input tolerable error e a. Among the following pairs of initial guesses for x0 and x1, choose the correct pair: (x0=0, x1=1), (x0=0, x1=2), (x0=1, x1=2), (x0=2, x1=4). b. Use the correct input to calculate x2. c. Calculate f(x2). d. According to the value of f(x2), should we replace x0 with x2, or replace xl with x2? = 0.0001. %3D What is the next step of the algorithm? Will it continue the loop, or stop the loop? Why it will do so? е. Pseudocode for Bisection Method 1. Start 2. Define function f(x) 3. Input a. Lower and Upper guesses x0 and x1 b. tolerable error e 4. If f(x0)*f(x1) > 0 print "Incorrect initial guesses" goto 3 End If 5. Do x2 = (x0+x1)/2 If f(x0)*f(x2) < 0 x1 = x2 Else х0 %3D х2 End If while abs(f(x2)) > e 6. Print root as x2 7. Stop 2 I 3 + Page
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS