Q3: Construct a 3rd order Lagrange polynomial of the function f(x) = lnx.cosx where x e [1, 4]. Then find the exact and approximate values of f(2.4) and f(4.5) and estimate the error.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Q3: Construct a 3rd order Lagrange polynomial of the function f(x) = Inx.cosx
where x e [1, 4]. Then find the exact and approximate values of f(2.4) and
f(4.5) and estimate the error.
Transcribed Image Text:Q3: Construct a 3rd order Lagrange polynomial of the function f(x) = Inx.cosx where x e [1, 4]. Then find the exact and approximate values of f(2.4) and f(4.5) and estimate the error.
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