Question: a. Use Algorithm 3.2 to construct the interpolating polynomial of degree four for the unequally spaced points given in the following table: x f (x)

a. Use Algorithm 3.2 to construct the interpolating polynomial of degree four for the unequally spaced points given in the following table:
x f (x)
0.0 −6.00000
0.1 −5.89483
0.3 −5.65014
0.6 −5.17788
1.0 −4.28172
b. Add f (1.1) = −3.99583 to the table, and construct the interpolating polynomial of degree five.

Step by Step Solution

★★★★★

3.30 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a P 4 x 6105170x057250 x x0... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

731-M-N-A-N-L-A (315).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

a. Use Algorithm 3.2 to construct the interpolating polynomial of degree three for the unequally spaced points given in the following table: x f (x) 0.1 5.30000 0.0 2.00000 0.2 3.19000 0.3 1.00000 b....

For the following data values, construct the interpolating polynomial in Lagrange form: (a) (b) (c) (d) (e) t-3 2 5 yi y5 25 y2 -1 5 ,-2 -1 02 y,1-1-2213

Given the following data pairs, find the interpolating polynomial of degree 3 and estimate the value of y corresponding to x = 1.5. (0, 1), (1, 1.49), (2, -0.42), (3, -11.33)

I need a MATLAB code for Newton's Divided Difference for the questions below: a . Use Newton's Divided-Difference to construct the interpolating polynomial of degree four for the unequally spaced...

Write a program to compute the base functions one-by-one and the Lagrange polynomial. The output should show all the steps of the calculations. (JAVA Program) 1. a. f(0.25) if f(-1) 0.86199480,...

1. Use Newton's Divided Difference Formula to construct the interpolating polynomial of degree three for the unequally spaced points given in the following table: 0.0 0.2 3.19 0.3 1.0 - 0.1 fx) 5.3...

The algorithm for Newton's divided difference formula is: INPUT X = (XO....X.), Y = f(x),...,f(x)) = (F.,F...,Fre) OUTPUT F.; = f[x:-;,X], the divided differences and the Lagrange interpolating...

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Least Squares Approximation Hector D. Ceniceros 1 Least Squares Approximation Let f be a continuous function on [a, b]. We would like to find the best approximation to f by a polynomial of degree at...

An Investigation into obesity rates Researchers have been interested in studying the obesity trends worldwide over the past 25 years. In 2014 the World Health Organization (WHO) declared there were....

Suppose that 50% of all adult Americans believe that federal budget deficits at recent levels cause long-term harm to the nation's economy. What is the probability that more than 58% of a random...

You have been given the following information for Corkys Bedding Corp.: a. Net sales = $11,250,000 b. Cost of goods sold = $7,500,000; c. Other operating expenses = $250,000; d. Addition to retained...

Which of the following taxes is most convenient for individuals ( purchasers ) to pay? Use tax Sales tax Federal income tax Real property tax

Communication is key to the success of a project. As the project manager, you had three stakeholders with whom you needed to communicate. Therefore, you had six channels of communication. A new...

Applying the generalized divergence theorem to the set M = {XЄrN: |x|

Define F on R3 by F(x) = (0, 0, cx3)x and let M be a compact three-dimensional manifold-with-boundary with MC {x: x3

Suppose that f(x) = e-x for 0

targets finacial statements 2022 \begin{tabular}{|c|c|c|c|c|} \hline 2 & Company Name & Current Year & Prior Year & 3 Years Ago \\ \hline 23 & Total Liabilities & \#DIV/0! & # DIV /0 ! & \\ \hline 24...

Ijarah Financing Computation Ahmed approaches the Islamic bank and applies for leasing a bottle packaging machine for a period of 5 years. The cost of financing a machine Is BD100,000 and Ahmed is...

have to turn in in 2 hours please help!! Sovereign Debt Negotiations. A sovereign borrower is considering a $100 million loan for a 4-year maturity. It will be an amortizing loan, meaning that the...