Given the data below: I = 0x Axo) = 2 X1= 2 X2 = 4 Axi) = 3 Ax2) = 8 (i) Calculate the second-order interpolating polynomial using the method of the Newton's interpolating polynomial. (ii) Use the interpolating polynomial in (i) to calculate the approximated/interpolated functional value at x = 3, i.e., (3). (iii)Calculate the percentage relative error if the true value of (3) is 4.8.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.7P
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Given the data below:
Xo = 1
X1= 2
x2 = 4
Axo) = 2
Ax1) = 3
Ax2 :
= 8
(i) Calculate the second-order interpolating polynomial using the method of the Newton's interpolating
polynomial.
(ii) Use the interpolating polynomial in (i) to calculate the approximated/interpolated functional value at x = 3,
i.e., (3).
(iii)Calculate the percentage relative error if the true value of f(3) is 4.8.
Transcribed Image Text:Given the data below: Xo = 1 X1= 2 x2 = 4 Axo) = 2 Ax1) = 3 Ax2 : = 8 (i) Calculate the second-order interpolating polynomial using the method of the Newton's interpolating polynomial. (ii) Use the interpolating polynomial in (i) to calculate the approximated/interpolated functional value at x = 3, i.e., (3). (iii)Calculate the percentage relative error if the true value of f(3) is 4.8.
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