Let f(x) = sin 2x.(a) Find the Hermite interpolating polynomial of degree at most three using x₁ = 0 and x₁ =, then use it to approximate ƒ (™).(b) Use the error formula below to find the error bound, then compare it with the actual error.f(x) - H₂n+1(x) =nf(²n+ 2) (§ (x)) [(x − x ₂) ².(2n + 2)!i=0

We are given the function f(x)=sin 2x. For (a), The Hermite interpolating polynomial of degree at…

Let f(x) = sin 2x. (a) Find the Hermite interpolating polynomial of degree at most three using xo = 0 and x₁ = □, then use it to approximate ƒ (²). (b) Use the error formula below to find the error bound, then compare it with the actual error. f(x) − H₂n+1(x) - ƒ (²n+2) (5(x))(x − x₁) ². = (2n + 2)! i=0

Let f(x) = sin 2x. (a) Find the Hermite interpolating polynomial of degree at most three using xo = 0 and x₁ = □, then use it to approximate ƒ (²). (b) Use the error formula below to find the error bound, then compare it with the actual error. f(x) − H₂n+1(x) - ƒ (²n+2) (5(x))(x − x₁) ². = (2n + 2)! i=0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 14T

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