Answered: 2.3. Given that $(0)=1₁ £ (1) = 3, f(3)…

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2.3. Given that $(0)=1₁ £ (1) = 3, f(3) = SS, find the unique Polynomial of degree 2, which fits the given data

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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Question

2.3. Given that $(0)=1₁ f(1) = 3, f(3) = SS, find the unique
Polynomial of degree 2, which fits the given data

Expert Solution

Step 1

It is given that, $f (0) = 1$ , $f (1) = 3$ and $f (3) = 55$ .

We have to find a polynomial of degree 2 which fits the given data.

We know that, the general equation of two degree polynomial is given by ;

$f (x) = a x^{2} + b x + c$ , where $a, b$ and $c$ be any real constants

Step by step

Solved in 2 steps

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