for f (x) = cosx + sinx function; (Table attached in to description) table is given. a) Find the Lagrange interpolation polynomial P2(x) interpolating the function f(x). b) Using this polynomial, calculate the values of f(pi / 12 = 0.2618) and P2(pi / 12 = 0.2618) with seven digits after the comma. c) Determine an error upper limit for

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

1. for f (x) = cosx + sinx function;

(Table attached in to description)

table is given.

a) Find the Lagrange interpolation polynomial P2(x) interpolating the function f(x).

b) Using this polynomial, calculate the values of f(pi / 12 = 0.2618) and P2(pi / 12 = 0.2618) with seven digits after the comma.

c) Determine an error upper limit for R2(x).

10° = 7/18=0.1745 20° = 7/9 = 0.3491| 30° =T/6=0.5236
S(x)
1.1585
1.2817
1.3660
Transcribed Image Text:10° = 7/18=0.1745 20° = 7/9 = 0.3491| 30° =T/6=0.5236 S(x) 1.1585 1.2817 1.3660
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Power Series
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.
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,