Question: Given the function f(x) = cos(x), Ti 0.2 0.4 0.6 f(xi) 0.9801 0.9211 0.8253 Determine the interpolating polynomial using the Lagrange formula, estimate f (0.3)

Given the function f(x) = cos(x), Ti 0.2 0.4 0.6 f(xi) 0.9801 0.9211 0.8253 Determine the interpolating polynomial using the Lagrange formula, estimate f (0.3) and an upper bound for error

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Investigators selected an SRS of 200 high school seniors from a population of 2000 for a survey of television-viewing habits, with an overall response rate of 75%. By checking school records, they...

MA 261 PRACTICE PROBLEMS 1. If the line ` has symmetric equations y x1 z+2 2 = 3 = 7 , nd a vector equation for the line `0 that contains the point (2; 1; 3) and is parallel to `. A. ~ = (1 + 2t)~...

Downloaded 02/28/15 to 132.174.255.3. Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php 15.7. Exercises 475 changes and we laugh no more. While...

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...

Please quality check my solutions for this advanced heat transfer problem. Show all work. Thank you. All original documents are located at the bottom. 3.9 COMPACT HEAT EXCHANGERS 3.9.10-1 3.9.10...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

Can an expert in advanced heat transfer review my work and verify my solutions. Please show all work where corrections are needed. I have uploaded the original problem materials for reference as...

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....

Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

Over the past few years, there has been growing debate over whether companies and boards have had proper regard for their key shareholders. There has also been increased scrutiny on board decision...

Give the expression for the thermodynamic equilibrium constant for each of the following reactions. a. b. c. CO(g) H20(g) CO2(g) H2(g) Mg(OH)28)Mg(a 2OH (ag)

Calculate lim n ( n 2 + n 2 - n ) .

For a first order instrument with a sensitivity of 0.15 mV/kPa and a time constant of 0.5 For a first order instrument with a sensitivity of 0.15 mV/kPa and a time constant of 0.5 s, find the...

Synthesis of Prebiotic Molecules in an Experimental Atmosphere with an increased understanding of the atmospheric conditions that existed on primitive Earth, the researchers devised an experiment to...

A 62-year-old inmate is admitted to this hospital from prison with a complaint of chest pain. The patient is being worked up for possible myocardial infarction and admitted to the cardiac unit....

A container of bolts, currently located in Houston, TX, needs to be delivered to a facility in Sioux Falls, SD. The standard ground shipment method takes three days. However, for an additional charge...

A balloon carrying a first-order thermometer with a 15-s time constant rises through the atmosphere at 6 m/s. Assume temperature varies with altitude at 0.15*C/30m. The balloon radios temperature and...

During the Civil War, fighting with American Indians came to a halt because the Union focused on defeating the Confederacy. True False

1. Information that is currently accessible (recognition).

8. Based on the model in Fig. 10.2 in this chapter, analyse yourself and find out which cell you would place yourself in. Let another person in the group analyse you. Did he/she choose the same cell...

9. Take four examples from your own everyday life where someone has tried to influence you. Which of the seven influencing techniques mentioned above were used? Did they use any other influencing...