Question: Given the data (a) Calculate (2.8) using Newtons interpolating polynomials of order 1 through 3. Choose the sequence of the points for your estimates to

Given the data

(a) Calculate ƒ(2.8) using Newton’s interpolating polynomials of order 1 through 3. Choose the sequence of the points for your estimates to attain the best possible accuracy.

(b) Utilize Eq. (18.18) to estimate the error for each prediction.

16 2 25 32 2 2.5 32 4 45 8 14 15 f(x)

Step by Step Solution

★★★★★

3.34 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a First order the points so that they are as close to and as centered about the u... 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)

45-M-N-A-C-F (33).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Repeat Prob. 18.5 using Lagrange polynomials of order 1 through 3.

Choose the best answer. Items 1 through 3 relate to the following information. The county collects taxes on behalf of the county, city, and a special purpose district. For 2014, the taxes to be...

Given your previous estimates from 1 and 2, estimate the total cost of driving the hybrid model for one year. Also estimate the total cost of driving the non-hybrid model for one year. Calculate the...

just compute the error in the last point (4.5, 2) in each of the three polynomials of degree 1,2,3. 1) Use Matlab to get Newtons polynomial of degree 5. Do not simplify it to the polynomial in...

Required information Consider the given data. Calculate f(3.4) using Newton's interpolating polynomials of order 1 through 3 . Choose the sequence of the points for your estimates to attain the best...

The subject is Intro to Numerical Methods - Comp Sci -using first two points create a line find the error in the rest of points. -using first three points create a quadratic find the error in the...

Given the data: Use Excel and MATLAB to: (a) Calculate f(3.4) using Newton's interpolating polynomials of order 1 through 3. Choose the sequence of the points for your estimates to attain the best...

Problem 4: Given the data x 1 2 2.5 3 4 5 f(x) 0 5 6.5 7 3 1 (a) Calculate f(3.4) using Newtons interpolating polynomials of order 1 through 3. Since it is an interpolation problem, n data points...

Problem 4 Given the data 2.5 6.5 0 (a) Calculate f(3.4) using Newton's interpolating polynomials of order 1 through 3. Since it is an interpolation problem, n data points among the above table can be...

Need this question answered in Matlab showing the code. Use the method describe in the problem, I attached a second picture that shows the pseudo code that you should follow. Thanks. Ill give thumbs...

A pension fund is making an investment of $100,000 today and expects to receive $1,600 at the end of each month for the next five years. At the end of the fifth year, the capital investment of...

In a certain large metropolitan area, the proportion, Y, of students bused varies widely from school to school. The distribution of proportions is roughly described by the following pdf: Suppose the...

The National Security Agency s ( NSA s ) Infosec Assessment Methodology ( IAM ) is a good example of a qualitative risk - assessment methodology. As such, which of the following statements is least...

How are current liabilities related by definition to current assets? How are current liabilities related to a companys operating cycle?

Coakley Company acquired 30% of the outstanding common stock of Ginger Inc. on January 1, 2012, by paying $1,800,000 for 60,000 shares. Ginger declared and paid a $0.50 per share cash dividend on...

As shown in Figure P18.42, water is pumped into a tall vertical cylinder at a volume flow rate R. The radius of the cylinder is r, and at the open top of the cylinder a tuning fork is vibrating with...

Suppose that S is regarded as a function of P and T. Show that TdS= CpdT- aTVdp. Hence, show that the energy transferred as heat when the pressure on an incompressible liquid or solid is increased by...

Spray drying is a process in which a liquid containing dissolved or suspended solids is injected into a chamber through a spray nozzle or centrifugal disk atomizer. The resulting mist is contacted...

What mass of oxygen gas is produced from decomposing 5.00 g of water (18.02 g/mol)? 2 H 2 O(l) 2 H 2 (g) + O 2 (g) (a) 2.22 g (b) 2.50 g (c) 4.44 g (d) 5.00 g (e) 8.88 g.

Using the notation introduced in Example 4.29, let Show that there is exactly one value of x such that if your envelope contains x, then you should switch. if r = 2*. Pa =(4)*. 0, otherwise.

Show that, if X and Y are random variables taking on only two values each, and if E(XY ) = E(X)E(Y ), then X and Y are independent.

If the first roll in a game of craps is neither a natural nor craps, the player can make an additional bet, equal to his original one, that he will make his point before a seven turns up. If his...

The Drillago Company is involved in searching for locations in which to drill for oil. The firm's current project requires an initial investment of $15 million and has an estimated life of 10 years....

The options for the first part are as follows:

The company Youphone is expected to generate $48 million in FCFF next year. The firm currently is extremely over-levered with a debt to equity ratio of 4:1. The beta of the stock is now 2.72 and the...