Consider the function f(x)=exp(x). Let p=P₂ be the interpolation polynomial for the data x=(0,1/2,1) and y=(exp(0),exp(1/2),exp(1)). Determine the value = ['₁ S = O a. s=0.179 O b. s-0.197 O c. S=0.719 O d. s-0.791 O e. s=0.971 O f. s 1.179 Og. s=1.197 Oh. s-1.719 O i. S=1.791 Oj. s=1.971 p(x)dx up to the third digit behind the point. Hint: You can compute the desired value brute force. Alternatively, you can go back to the lecture notes and identify where this construction occurs, and which simple formula gives the desired value.

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
100%

Need help with this question. Thank you :)

 

Consider the function f(x)=exp(x). Let p=P₂ be the interpolation polynomial for the data x=(0,1/2,1) and y=(exp(0),exp(1/2),exp(1)). Determine the value
a. s=0.179
O b. s-0.197
C.
up to the third digit behind the point.
Hint: You can compute the desired value brute force. Alternatively, you can go back to the lecture notes and identify where this construction occurs, and which
simple formula gives the desired value.
O d. s=0.791
e.
O f.
s=0.719
s=0.971
O i.
O j.
s=1.179
g. s=1.197
h. s=1.719
1
= ["
s=1.791
s=1.971
S =
p(x)dx
Transcribed Image Text:Consider the function f(x)=exp(x). Let p=P₂ be the interpolation polynomial for the data x=(0,1/2,1) and y=(exp(0),exp(1/2),exp(1)). Determine the value a. s=0.179 O b. s-0.197 C. up to the third digit behind the point. Hint: You can compute the desired value brute force. Alternatively, you can go back to the lecture notes and identify where this construction occurs, and which simple formula gives the desired value. O d. s=0.791 e. O f. s=0.719 s=0.971 O i. O j. s=1.179 g. s=1.197 h. s=1.719 1 = [" s=1.791 s=1.971 S = p(x)dx
Expert Solution
Step 1

Given data set is as follows x=(0,1/2,1) and y=e0,e1/2,e1.

To Find: The value of s=01pdx where pP2 be an interpolation variable.

steps

Step by step

Solved in 2 steps

Blurred answer
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,