104 HW4.docx - 1(a Write the Lagrangian form of the...

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1. (a) Write the Lagrangian form of the interpolating polynomial P 2 corresponding to the data in the table below: P 2 (x) = l 0 (x)*f 0 + l 1 (x)*f 1 + l 2 (x)*f 2 = (x-x 1 )(x-x 2 )/(x 0 -x 1 )(x 0 -x 2 )*f 0 +(x-x 0 )(x-x 2 )/(x 1 -x 0 )(x 1 -x 2 )*f 1 + (x-x 1 )(x-x 2 )/(x 0 -x 1 )(x 0 -x 2 )*f 2 = (x-1)(x-3)/(0-1)(0-3)*1 + (x-0)(x-3)/(1-0)(1-3)*1 + (x-0)(x-1)/(3-0)(3-1)*(-5)
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