.Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate each of the following: f(8.4) if f(8.1) = 16.94410, f(8.3) = 17.56492, f(8.6) = 18.50515, f(8.7) = 18.82091 a. %3! %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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5. Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate
each of the following:
a. f(8.4) if f(8.1) = 16.94410, f(8.3) = 17.56492, f(8.6) = 18.50515, f(8.7) = 18.82091
b. f(-) if f(-0.75) = -0.07181250, f(-0.5) = -0.02475000, f(-0.25) = 0.33493750,
f(0) = 1.10100000
f(0.25) if f(0.1) = 0.62049958, f(0.2) = -0.28398668, f (0.3) = 0.00660095, f(0.4) =
c.
0.24842440
d. f(0.9) if f(0.6) = -0.17694460, f(0.7) = 0.01375227. f(0.8) = 0.22363362, f(1.0) =
0.65809197
Transcribed Image Text:5. Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate each of the following: a. f(8.4) if f(8.1) = 16.94410, f(8.3) = 17.56492, f(8.6) = 18.50515, f(8.7) = 18.82091 b. f(-) if f(-0.75) = -0.07181250, f(-0.5) = -0.02475000, f(-0.25) = 0.33493750, f(0) = 1.10100000 f(0.25) if f(0.1) = 0.62049958, f(0.2) = -0.28398668, f (0.3) = 0.00660095, f(0.4) = c. 0.24842440 d. f(0.9) if f(0.6) = -0.17694460, f(0.7) = 0.01375227. f(0.8) = 0.22363362, f(1.0) = 0.65809197
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