[B] Use the Newton-divided difference formula tofind a polynomial of the formP,(x) = ax + bx³ + cx? + dx + e whichpasses through all the following points:-1 2515f (x)1499.5178715769 112582Find:(i)a + b + c + d + e(ii)е — d(ii)ахь(iv)a + b + c(v)e ÷ c

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Answered: [B] Use the Newton-divided difference…

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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[B] Use the Newton-divided difference formula to find a polynomial of the form P„(x) = = ax4 + bx³ + cx² + dx + e_which passes through all the following points: -1 2 5 9 15 f(x) 14 99.5 1787 15769 112582 Find: (i) a +b+с+ d +e (ii) е — d (ii) ахь (iv) a + b + c (v) e ÷ c