a) Find a Lagrange interpolating polynomial in the form of P,(x) = ax³ + bx² + cx+d befitting thefollowing data points (0,4),(1,3), (4,24) and (5,39). Hence use the polynomial to estimate f(3)

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Answered: a) Find a Lagrange interpolating…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a) Find a Lagrange interpolating polynomial in the form of P, (x) = ax³ + bx² + cx+d befitting the following data points (0,4),(1,3), (4,24) and (5,39). Hence use the polynomial to estimate f(3) (Smarlin)