(4) Problem 18.7. Use the following instructions: a. Use 1st-order LaGrange interpolation with X0=3 and x₁ = 5. b. Use 2nd-order LaGrange interpolation with x0 = 2, x₁ = 3, x2 = 5. c. Determine f(4) using MATLAB's 'spline' function. d. Determine f(4) using MATLAB's 'interp1' function. e. Determine f(4) using MATLAB's 'polyfit' and 'polyval' functions. 18.6 Given these data X 1 2 3 5 7 8 f(x) 3 6 19 99 291 444 Calculate f(4) using Newton's interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. What do your results indicate regarding the order of the polynomial used to generate the data in the table? 18.7 Repeat Prob. 18.6 using Lagrange polynomials of order 1 through 3.
(4) Problem 18.7. Use the following instructions: a. Use 1st-order LaGrange interpolation with X0=3 and x₁ = 5. b. Use 2nd-order LaGrange interpolation with x0 = 2, x₁ = 3, x2 = 5. c. Determine f(4) using MATLAB's 'spline' function. d. Determine f(4) using MATLAB's 'interp1' function. e. Determine f(4) using MATLAB's 'polyfit' and 'polyval' functions. 18.6 Given these data X 1 2 3 5 7 8 f(x) 3 6 19 99 291 444 Calculate f(4) using Newton's interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. What do your results indicate regarding the order of the polynomial used to generate the data in the table? 18.7 Repeat Prob. 18.6 using Lagrange polynomials of order 1 through 3.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
100%
See 2 images
Transcribed Image Text:(4)
Problem 18.7. Use the following instructions:
a. Use 1st-order LaGrange interpolation with X0=3 and x₁ = 5.
b. Use 2nd-order LaGrange interpolation with x0 = 2, x₁ = 3, x2 = 5.
c. Determine f(4) using MATLAB's 'spline' function.
d. Determine f(4) using MATLAB's 'interp1' function.
e. Determine f(4) using MATLAB's 'polyfit' and 'polyval' functions.
Transcribed Image Text:18.6 Given these data
X
1
2
3
5
7
8
f(x) 3
6
19
99 291
444
Calculate f(4) using Newton's interpolating polynomials of order
1 through 4. Choose your base points to attain good accuracy. What
do your results indicate regarding the order of the polynomial used
to generate the data in the table?
18.7 Repeat Prob. 18.6 using Lagrange polynomials of order
1 through 3.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY