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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