Purchase Solution

Constructing a polynomial

Not what you're looking for?

Ask Custom Question

1
(a) Consider the function values...
Consider a polynomial P(x) of least degree (the osculating polynomial) through the points xi=x0+i*h, i.e. polynomial that satisfies
P(x0)=f0, P(x1)=f1, P'(x1)=f'(x1), P(x2)=f2

(b) Prove that df(x1)/dx = dP(x1)/dx for any smooth function f(x)
(c) Construct the polynomial P(x) for the function f(x)=sin(x) and x0=0, x1=pi/2, x2=pi

Please see attached for Full Question.

Attachments
Purchase this Solution

Solution Summary

This shows how to construct a polynomial for a given situation.

Solution Preview

please check the file Q38306 Polynomial.doc

UPDATE: Question from Student:
For the first part of the question, would the answer simply be all those equations? There is no one way of ...

Purchase this Solution


Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.