Given the following data which generated by the function y = 1/x. 1 4 y=f(x) 1 0.5 0.3333 0.25 0.2 a. Approximate f(4.5) using first and second order Lagrange interpolating polynomial. b. Which method...

Given the following data which generated by the<br>function y = 1/x.<br>1<br>4<br>y=f(x)<br>1<br>0.5<br>0.3333<br>0.25<br>0.2<br>a. Approximate f(4.5) using first and second order<br>Lagrange interpolating polynomial.<br>b. Which<br>method gives the highest accuracy?<br>Discuss.<br>

Extracted text: Given the following data which generated by the function y = 1/x. 1 4 y=f(x) 1 0.5 0.3333 0.25 0.2 a. Approximate f(4.5) using first and second order Lagrange interpolating polynomial. b. Which method gives the highest accuracy? Discuss.

Jun 04, 2022

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Given the following data which generated by the function y = 1/x. 1 4 y=f(x) 1 0.5 0.3333 0.25 0.2 a. Approximate f(4.5) using first and second order Lagrange interpolating polynomial. b. Which method...

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