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Write the interpolating polynomial f(x) that passes through the points: x0 |y | 3 6 4 4 2 10 1 (a) Write the polynomial in the form: f(x)= a, + a,x + a,x² +a¸x*, and (b) Find the value of the function at f(5). Show all your work. %3D

Write the interpolating polynomial f(x) that passes through the points: x0 |y | 3 6 4 4 2 10 1 (a) Write the polynomial in the form: f(x)= a, + a,x + a,x² +a¸x*, and (b) Find the value of the function at f(5). Show all your work. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Write the interpolating polynomial f(x) that passes through the points: 2 4 y3 4 10 1 (a) Write the polynomial in the form: f(x)= a, + a,x + a,x² + a x°, and (b) Find the value of the function at f(5). Show all your work.
Transcribed Image Text:Write the interpolating polynomial f(x) that passes through the points: 2 4 y3 4 10 1 (a) Write the polynomial in the form: f(x)= a, + a,x + a,x² + a x°, and (b) Find the value of the function at f(5). Show all your work.
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