Consider the following set of data: 8.3 8.6 8.7 y 17.56492 18.50515 18.82091 a) Write down the Lagrange polynomial of degree 2. Do not simplify. b) Use your Lagrange polynomial to estimate the y value when x=8.3. c) To how many decimal places is this accurate?

Consider the following set of data: 8.3 8.6 8.7 y 17.56492 18.50515 18.82091 a) Write down the Lagrange polynomial of degree 2. Do not simplify. b) Use your Lagrange polynomial to estimate the y value when x=8.3. c) To how many decimal places is this accurate?

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

Consider the following set of data:
8.3
8.6
8.7
17.56492 18.50515 18.82091
a) Write down the Lagrange polynomial of degree 2. Do not simplify.
b) Use your Lagrange polynomial to estimate the y value when x=8.3.
c) To how many decimal places is this accurate?
(Hint : –3.5 < f" < -0.8.)

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