Given the table below0.10.20.30.40.50.6f(x)0.4250.4750.4000.4520.5250.575Approximate the value of f' (0.4) using central differenceapproach.O 0.7401O 0.1765О.3330.625

Answered: Image /qna-images/answer/0793d8e4-d1f1-4742-a44c-723d7463e3d4.jpg

Answered: Given the table below 0.1 0.2 0.3 0.4…

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

Similar questions

[-/6.66 Points] DETAILS HARMATHAP12 9.3.023. Use the given table to approximate f'(a) as accurately as you can. f'(13) = 12.0 12.99 13 13.1 a = 13 f(x) 1.43 17.48 17.12 22.87 Need Help? Read It Watch It [-/6.66 Points] DETAILS HARMATHAP12 9.3.027.MI. A point (a, b) on the graph of y = f(x) is given, as is the equation of the lin round.) %3D (5, -4); 4x - 5y = 40 f(5) %3D f'(5) %3D Need Help? Watch It Read It Master It
Using Backward Difference, approximate the derivative of the function f(x) =/x at x=1 for various values of h given in the Table below. At n = 10, what is the percentage of error? Round off answer to 10 decimal places. 1 0.1000000000 2 0.0500000000 3 0.0250000000 4 0.0125000000 0.0062500000 0.0031250000 7 0.0015625000 8 0.0007812500 9 0.0003906250 10 0.0001953125
(part 1 of 4) Suppose P4(x) is the degree 4 Taylor polynomial centered at 0 for some function f. (i) What is the value of f(0)? 1. f(0) X = = 2 == -3 - 5x + 2x² - 4x³ +5x² 2. f(0) = 3 3. f(0) = -2 4. f(0) = 4 5. f(0) = 2 (part 2 of 4) (ii) What is the value of ƒ(³)(0)? 4 1. ƒ(³) (0) 3 2. f(³) (0) = 24 3. f(³) (0) = -24 4. f(³) (0) = –4 4 5. ƒ(³) (0) = 1/3 (part 3 of 4) (iii) Use p4 to estimate the value of f(0.1). 1. f(0.1) 1.7165 2. f(0.1)≈ 1.4165 3. f(0.1)≈ 1.5165 4. f(0.1)≈ 1.8165 5. f(0.1) 1.6165
0.8 0.9 1 1.1 1.2 f(ri) = Yi| 0.0207 0.1617 0.3012 0.4376 0.5697 1-Calculate the values f'(0.8) and f'(1.2) approximately using the 3-point forward or backward difference formulae with the best approach. www www 2-f'(1)take the value H = 0.1 and h = 0.2 twice and approximate the central difference formula calculate as. f'1 3- 2. improve the f'(1) derivative with Richardson extrapolation using the results you found in the question.
Use differentials to approximate to 3 decimal places ( 1.09 ) 1/3
3. Find f'(0.28) from the table using numerical differentiation 0.1 0.25 0.3 0.65 0.4 0.98 (x)F

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

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…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

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…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate the value of f' (0.4) using central difference approach. O 0.7401 O 0.1765 О.333 0.625