3. The Lagrange polynomial that passes through the 3 data points is given by x| 15 | 18 | 22 y 24 37 25 f.(x)= L, (xX24)+ L, (*X37)+ L, (x)(25) The value of L, (x) at x = 16 is (A) –0.071430 (B) 0.50000 (C) 0.57143 (D) 4.3333 (E)4.5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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3.
The Lagrange polynomial that passes through the 3 data points is given by
x 15 18 22
y 24 37 25
f.(x)= L, (x)(24)+ L, (×X37)+ L, (x(25)
The value of L, (x) at x = 16 is
(A) –0.071430
(B) 0.50000
(C) 0.57143
(D) 4.3333
(E)4.5
Transcribed Image Text:3. The Lagrange polynomial that passes through the 3 data points is given by x 15 18 22 y 24 37 25 f.(x)= L, (x)(24)+ L, (×X37)+ L, (x(25) The value of L, (x) at x = 16 is (A) –0.071430 (B) 0.50000 (C) 0.57143 (D) 4.3333 (E)4.5
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