Given the function f (x) = sen (x) tabulated: in the figure • Calculate the interpolation polynomial over all points. • Estimate sen (1.35) using your polynomial. • Make a linear interpolation (by a straight line) between the points (1.3, 0.964) and (1.4, 0.985). Using this polynomial, calculate an approximation for sen (1.35) and compare with the previous item.
Given the function f (x) = sen (x) tabulated: in the figure • Calculate the interpolation polynomial over all points. • Estimate sen (1.35) using your polynomial. • Make a linear interpolation (by a straight line) between the points (1.3, 0.964) and (1.4, 0.985). Using this polynomial, calculate an approximation for sen (1.35) and compare with the previous item.
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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Question
Given the function f (x) = sen (x) tabulated: in the figure
• Calculate the interpolation polynomial over all points.
• Estimate sen (1.35) using your polynomial.
• Make a linear interpolation (by a straight line) between the points (1.3, 0.964)
and (1.4, 0.985). Using this polynomial, calculate an approximation for
sen (1.35) and compare with the previous item.
![1.2
1.3
1.4
1.5
f(x) | 0.932 | 0.964 | 0.985 | 0.997](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbec109a4-caee-470f-89f0-56f7871a67f2%2F6f429b89-c7b4-4ac4-ab4f-4998ea933a94%2Fg4slwu_processed.png&w=3840&q=75)
Transcribed Image Text:1.2
1.3
1.4
1.5
f(x) | 0.932 | 0.964 | 0.985 | 0.997
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