Homework Help is Here – Start Your Trial Now!
Engineering
Computer Engineering
3.6 Determine the positive root of the polynomial x3 + 0.6x2 + 5 .6-4.8 . (a) Plot the polynomial and choose a point near the root for the first estimate of the solution. Using New­ ton's method, determine the approximate solution in the first four iterations. (b) From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations.

3.6 Determine the positive root of the polynomial x3 + 0.6x2 + 5 .6-4.8 . (a) Plot the polynomial and choose a point near the root for the first estimate of the solution. Using New­ ton's method, determine the approximate solution in the first four iterations. (b) From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations.

Computer Networking: A Top-Down Approach (7th Edition)
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...
See similar textbooks
icon
Related questions
Question
100%

3.6 Determine the positive root of the polynomial x3 + 0.6x2 + 5 .6-4.8 .
(a) Plot the polynomial and choose a point near the root for the first estimate of the solution. Using New­
ton's method, determine the approximate solution in the first four iterations.
(b) From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations.

15:47 X 3.11 Problems 3.5 the ec out the Numerical Method... 3.4 The lateral surface area, S, of a cone is given by: S = πr√√r²+h² where r is the radius of the base and h is the height. Determine the radius of a cone that has a surface area of 1800 m² and a height of 25 m. Solve by using the fixed-point iteration method with r = S/(√√√² + h²) as the iteration func- tion. Start with r = 17 m and calculate the first four iterations. Copiar Selecionar Tudo o 3.6 Determine the positive root of the polynomial x³ +0.6x² + 5.6 — 4.8 . (a) Plot the polynomial and choose a point near the root for the first estimate of the solution. Using New- ton's method, determine the approximate solution in the first four iterations. (b) From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations. 3.7 The equation 1.2x³ + 2x²-20x-10 = 0 has a root between x = -4 and x = -5. Use these values for the initial two points and calculate the next four estimates for the solution using the secant method. Destacar 3.8 Find the root of the equation √x + x² = 7 using Newton's method. Start at x = 7 and carry out the first five iterations. 3.9 The equation x³-x-e¹-2 = 0 has a root between x = 2 and x = 3. (a) Write four different iteration functions for solving the equation using the fixed-point iteration method. (b) Determine which g(x) from part (a) could be used according to the condition in Eq. (3.30). (c) Carry out the first five iterations using the g(x) determined in part (b), starting with x = 2. x = 3.10 The equation f(x) = x²-5x¹/3 + 1 = 0 has a root between x = 2 and x = 2.5. To find the root by using the fixed-point iteration method, the equation has to be written in the form x = g(x). Derive two pos- sible forms for g(x) - one by solving for x from the first term of the equation, and the next by solving for x from the second term of the equation. Solve the following system of nonlinear equations: (a) Determine which form should be used according to the condition in Eq. (3.30). (b) Carry out the first five iterations using both forms of g(x) to confirm your determination in part (a). 3.11 The equation f(x) = 2x³-4x² - 4x-20 = 0 has a root between x = 3 and x = 4. Find the root by using the fixed-point iteration method. Determine the appropriate form of g(x) according to Eq. (3.30). Start the iterations with x = 2.5 and carry out the first five iterations. 3.12 Determine the positive root of the equation cosx-0.8x² = 0 by using the fixed-point iteration method. Carry out the first five iterations. Solve the following system of nonlinear equations: 5 -2x³ + 3y² +42 = 0 5x²+3y³-69 = 0 Use Newton's method. Start at x = 1, y = 1, and carry out the first five iterations. Use the fixed-point iteration method. Use the iteration functions y = - (³y² + 42)¹/³. Start at x = 1, y = 1, and carry out the first five iterations. x²+2x+2y²-26 = 0 2x³y2 +4y-19 = 0 89 Use Newton's method. Start at x = Use the fixed-point iteration method. Start at x = 1 y = 1 Chapter 3 Solving Nonlinear Equations 5x2+69)\1/3 3 be freet Gue iterations. and carry out the first five iterations and
Transcribed Image Text:15:47 X 3.11 Problems 3.5 the ec out the Numerical Method... 3.4 The lateral surface area, S, of a cone is given by: S = πr√√r²+h² where r is the radius of the base and h is the height. Determine the radius of a cone that has a surface area of 1800 m² and a height of 25 m. Solve by using the fixed-point iteration method with r = S/(√√√² + h²) as the iteration func- tion. Start with r = 17 m and calculate the first four iterations. Copiar Selecionar Tudo o 3.6 Determine the positive root of the polynomial x³ +0.6x² + 5.6 — 4.8 . (a) Plot the polynomial and choose a point near the root for the first estimate of the solution. Using New- ton's method, determine the approximate solution in the first four iterations. (b) From the plot in part (a), choose two points near the root to start the solution process with the secant method. Determine the approximate solution in the first four iterations. 3.7 The equation 1.2x³ + 2x²-20x-10 = 0 has a root between x = -4 and x = -5. Use these values for the initial two points and calculate the next four estimates for the solution using the secant method. Destacar 3.8 Find the root of the equation √x + x² = 7 using Newton's method. Start at x = 7 and carry out the first five iterations. 3.9 The equation x³-x-e¹-2 = 0 has a root between x = 2 and x = 3. (a) Write four different iteration functions for solving the equation using the fixed-point iteration method. (b) Determine which g(x) from part (a) could be used according to the condition in Eq. (3.30). (c) Carry out the first five iterations using the g(x) determined in part (b), starting with x = 2. x = 3.10 The equation f(x) = x²-5x¹/3 + 1 = 0 has a root between x = 2 and x = 2.5. To find the root by using the fixed-point iteration method, the equation has to be written in the form x = g(x). Derive two pos- sible forms for g(x) - one by solving for x from the first term of the equation, and the next by solving for x from the second term of the equation. Solve the following system of nonlinear equations: (a) Determine which form should be used according to the condition in Eq. (3.30). (b) Carry out the first five iterations using both forms of g(x) to confirm your determination in part (a). 3.11 The equation f(x) = 2x³-4x² - 4x-20 = 0 has a root between x = 3 and x = 4. Find the root by using the fixed-point iteration method. Determine the appropriate form of g(x) according to Eq. (3.30). Start the iterations with x = 2.5 and carry out the first five iterations. 3.12 Determine the positive root of the equation cosx-0.8x² = 0 by using the fixed-point iteration method. Carry out the first five iterations. Solve the following system of nonlinear equations: 5 -2x³ + 3y² +42 = 0 5x²+3y³-69 = 0 Use Newton's method. Start at x = 1, y = 1, and carry out the first five iterations. Use the fixed-point iteration method. Use the iteration functions y = - (³y² + 42)¹/³. Start at x = 1, y = 1, and carry out the first five iterations. x²+2x+2y²-26 = 0 2x³y2 +4y-19 = 0 89 Use Newton's method. Start at x = Use the fixed-point iteration method. Start at x = 1 y = 1 Chapter 3 Solving Nonlinear Equations 5x2+69)\1/3 3 be freet Gue iterations. and carry out the first five iterations and
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
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 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)
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
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY
SEE MORE TEXTBOOKS