numerical methods, Mathematics

Assignment Help:
Consider the following interpolation problem:

Find a quadratic polynomial p(x) such that
p(x0) = y0 p’(x1) = y’1 , p(x2) = y2

where x0 is different from x2 and y0, y’1 , y2 are the given data.

(a) What conditions must be satisfied for such a p(x) to exist and be unique?

(b) When p(x) exists, construct the basis functions Ti(x) for i = 0, 1, 2 such that

p(x) = y0*T0(x) + y’1*T1(x) + y2*T2(x).

Related Discussions:- numerical methods

Factoring quadratic polynomials, Primary, note that quadratic is another te...

Primary, note that quadratic is another term for second degree polynomial. Thus we know that the largest exponent into a quadratic polynomial will be a2. In these problems we will

digraph of r, Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb...

Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb iff a|b. (a) Write down the matrix of R. (b) Draw the digraph of R. (c) Explain whether R is reflexive, irrere

Definition of higher order derivatives, Higher Order Derivatives : Le...

Higher Order Derivatives : Let's begin this section with the given function.                            f ( x ) = 5x 3 - 3x 2 + 10 x - 5 By this point we have to be a

Linear programming , A paper mill produces two grades of paper viz., X and ...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

MARKOV PROCESS, EXPLAIN HOW MARKOV PROCESS IS APPLIED IN BRAND SWITCHING?

EXPLAIN HOW MARKOV PROCESS IS APPLIED IN BRAND SWITCHING?

Cartesian product of sets, The Cartesian product (also called as the cross ...

The Cartesian product (also called as the cross product) of two sets A and B, shown by AΧB (in the similar order) is the set of all ordered pairs (x, y) such that x€A and y€B. What

Triangles, ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lr...

ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2

Guess my number, My thousandths digit is twice the tenths digit. My tenths ...

My thousandths digit is twice the tenths digit. My tenths digit is one less than the hundredths digit. If my number is 5, what my number?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd