The Gamma function I(x) is a generalization of the factorial function to allreal numbers.Г() — (х — 1)! VrENIt is defined as:I(x) =fa-le-'dtGiven the following tableГ() — (х — 1)!11213424(a) Find the coefficients of the Newton Divided Differences Polynomial:P4(x) = ao+a1(x-xo)+a2(x-xo)(x-a1)+a3(x-xo)(x-x1)(x-x2)+a4(x-xo)(x-x1)(x-2)(x-x3)(b) What is the value of P4(3.5)?

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The Gamma function I'(r) is a generalization of the factorial function to all real numbers. r(r) = (x – 1)! Vr e N It is defined as: I(x) = t-le-'dt Given the following table I(x) = (x – 1)! 1 1 1 2 4 6 24 (a) Find the coefficients of the Newton Divided Differences Polynomial: PA(x) = a,+a1(x-xo)+a2(r-xo)(x-a1)+a3(x-ro)(x-a1)(r-a2)+a4(x-ro)(x-x1)(x-x2)(x-r3) (b) What is the value of P4(3.5)?

The Gamma function I'(r) is a generalization of the factorial function to all real numbers. r(r) = (x – 1)! Vr e N It is defined as: I(x) = t-le-'dt Given the following table I(x) = (x – 1)! 1 1 1 2 4 6 24 (a) Find the coefficients of the Newton Divided Differences Polynomial: PA(x) = a,+a1(x-xo)+a2(r-xo)(x-a1)+a3(x-ro)(x-a1)(r-a2)+a4(x-ro)(x-x1)(x-x2)(x-r3) (b) What is the value of P4(3.5)?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 3E

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