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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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.)
Transcribed Image Text: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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