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?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 58E

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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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