Q1. a. The function f(x)= Vx is tabulated as follows: 1.3 1.5 1.7 f(x)|1.14018|1.22474| 1.30384 Use linear and quadratic interpolation to estimate V1.38. Also find the upper and lower bounds for the truncation error in P(1.38) and P,(1.38).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1.
a.The function (x)= Vx is tabulated as follows:
1.3
1.5
1.7
f(x)|1.14018 1.22474 1.30384
Use linear and quadratic interpolation to estimate v1.38
Also find the upper
and lower bounds for the truncation error in P(1.38) and
P,(1.38).
b. The function (x)=e* is tabulated as follows:
0.50
0.52
0.54
f(x)|1.28403 1.31049 1.33857
Use linear and quadratic interpolation to estimate/0.527).
Also find the
upper and lower bounds for the truncation error in
P,(0.527) and?:0.527).
Transcribed Image Text:Q1. a.The function (x)= Vx is tabulated as follows: 1.3 1.5 1.7 f(x)|1.14018 1.22474 1.30384 Use linear and quadratic interpolation to estimate v1.38 Also find the upper and lower bounds for the truncation error in P(1.38) and P,(1.38). b. The function (x)=e* is tabulated as follows: 0.50 0.52 0.54 f(x)|1.28403 1.31049 1.33857 Use linear and quadratic interpolation to estimate/0.527). Also find the upper and lower bounds for the truncation error in P,(0.527) and?:0.527).
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