Explore BrainMass

# Constructing a polynomial

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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.

https://brainmass.com/math/basic-algebra/constructing-polynomial-38306

#### 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 ...

#### Solution Summary

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

\$2.49