Question: Use Newton's interpolating polynomial to determine y at x = 3.5 to the best possible accuracy. Compute the finite divided differences as in Fig. 18.5

Use Newton's interpolating polynomial to determine y at x = 3.5 to the best possible accuracy. Compute the finite divided differences as in Fig. 18.5 and order your points to attain optimal accuracy and convergence.
Figure 18.5
Graphical depiction of the recursive nature of finite divided differences.

Third f(x First Second x2, x, x flxol flxil flx2 Xx1, 2.5 4.5 y 2 5.4375 7.3516 7.5625 8.4453 9.1875 12

Step by Step Solution

★★★★★

3.46 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

First set up a difference table with the points properly ordered proximity to and balan... 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)

1228-M-N-A-O(884).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Use Newton's interpolating polynomial to determine y at x = 8 to the best possible accuracy. Compute the finite divided differences as in Fig. 18.5 and order your points to attain optimal accuracy...

The following data define the sea-level concentration of dissolved oxygen for fresh water as a function of temperature: Estimate o(27) using (a) Linear interpolation, (b) Newton's interpolating...

Given the data Calculate (4) using Newtons interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. What do your results indicate regarding the order of the...

Please provide matlab function and Script file please 17.2 Use Newton's interpolating polynomial to determine y at x 3.5 to the best possible accuracy. Compute the finite di- vided differences as in...

.Use MATLAB to solve 18.17 p524 Write your name and ID inside the program code, or it will be considered .sheeting Submit both the source code and the .output 524 INTERPOLATION PROBLEMS y 18.1...

Use Newtons interpolating polynomial to determine ln(x) at x = 2. Compute the finite divided differences as shown in the table presented in class. Show the coefficients for polynomials of first...

Need code in matlab using both newton's interpolation andLagrange interpolation. 18.11 Use Newton's interpolating polynomial to determine $ y $ at $ x=3.5 $ to the best possible accuracy. Compute...

Q 1 . Use Newton's interpolating polynomial to determine y at x = 8 to the best possible accuracy. Compute the finite divided differences as in Fig. 1 7 . 5 and order your points to attain optimal...

Malcom, Inc. It had the following balances and transactions in 2017: Initial Goods Inventory as of January 1, 2017 150 units at $81 10 Mart 60 units sold 10 June Bought 270 units for $85 October 30...

The first step in preparing a strategic plan is to specify the entitys goals. Formulate three possible objectives for (a) A manufacturing entity (b) A national charity involved in animal welfare.

Which of the following statement / s about stock splits are true? Stock splits simply provide an avenue for fraud on the part of big companies. 2 ) When a company such as Coca Cola splits its shares,...

2. Many e-marketers are championing the use of technologies like Twitter as an electronic form of word-of-mouth marketing. In your opinion, will this strategy be effective? Why or Why not?p. 45

The space shuttle, at lift-off from the launch pad, has four forces acting on it, which are shown on the free-body diagram (Figure). The combined weight of the two solid rocket boosters and external...

(a) Write the following set of equation in matrix from: 50 = 5x3 + 2x2 10 x1 = x3 3x2 + 8x1 = 20 (b) Write the transpose of the matrix of coefficients.

A number of matrices are defined as Answer the following questions regarding these matrices;(a) What are the dimensions of the matrices?(b) Identify the square, column, and row matrices.(c) What are...

. Calculate Annual Sales for Each Restaurant: - Formula: Annual Sales = SqFt . * Sales / SqFt . What formula would i use for this calculation

Using fixed length packets and sometimes referred to as cell relay, _ _ _ _ _ _ _ _ is a culmination of developments in circuit switching and packet switching. It is so efficient that it can offer a...

3)The department of correctional services in eight neighbouring cities have tried to establish a relationship to predict the # of violent crimes based on the related portion of the departmental...