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

Calculate the probability, Let D = 1 denotes the event that an adult male h...

Let D = 1 denotes the event that an adult male has a particular disease. In the population, it is known that the probability of having this disease is 20 percent, i.e., Pr (D = 1)

Examples of linear equation, Examples of Linear Equation Please provid...

Examples of Linear Equation Please provide me some Examples of Linear Equation?

What is a scatter diagram, What is a scatter diagram? A scatter diagram...

What is a scatter diagram? A scatter diagram is a graphical representation of data points for a particular sample. Choosing a dissimilar sample or enlarging the original one ca

Prove that bd/cd = bf/ce, In the given figure, ∠AEF=∠AFE and E is the mid-p...

In the given figure, ∠AEF=∠AFE and E is the mid-point of CA. Prove that BD/CD = BF/CE Ans:    Draw CG ¦DF In ΔBDF CG ¦ DF ∴ BD/CD = BF/GF     .............(1)

What are complex numbers, Q. What are Complex numbers? Ans. Comple...

Q. What are Complex numbers? Ans. Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is a special number called the imaginary unit, which

Pat, what is a fraction?

what is a fraction?

Negative function , Negative function : Several functions are not positive...

Negative function : Several functions are not positive however.  Consider the case of f (x ) =x 2 - 4 on [0,2].  If we utilizes n = 8 and the midpoints for the rectangle height w

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