2. Construct the interpolating polynomial of degree four for the unequally spaced data by using, (a) Newton interpolating polynomial (b) Lagrange interpolating polynomial (c) Approximate f(0.4) by...


2. Construct the interpolating polynomial of degree four for the unequally spaced data by<br>using,<br>(a) Newton interpolating polynomial<br>(b) Lagrange interpolating polynomial<br>(c) Approximate f(0.4) by using the 4th order polynomial.<br>(d) Add f(1.1)=-3.9958 to the given data and calculate R4 for f(0.4).<br>0.1<br>0.3<br>0.6<br>1.0<br>f(x)| -6.0000<br>-5.8948<br>-5.6501<br>-5.1779<br>-4.2817<br>

Extracted text: 2. Construct the interpolating polynomial of degree four for the unequally spaced data by using, (a) Newton interpolating polynomial (b) Lagrange interpolating polynomial (c) Approximate f(0.4) by using the 4th order polynomial. (d) Add f(1.1)=-3.9958 to the given data and calculate R4 for f(0.4). 0.1 0.3 0.6 1.0 f(x)| -6.0000 -5.8948 -5.6501 -5.1779 -4.2817

Jun 04, 2022
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