Table 1 0.2 0.4 0.6 0.8 1.0 1.2 v(1) 25 38 55 73 88 102 The second order Lagrange interpolating polynomial for v(0.28) can be computed as v(0.28) = Lo(0.28)v(to)+L1(0.28)v(t1)+L2(0.28)v(t2) The correct value for L1(0.28) is Select one: A. 0.4800 B. 0.6400 O C. -0.2400 D. -6.1207

Table 1 0.2 0.4 0.6 0.8 1.0 1.2 v(1) 25 38 55 73 88 102 The second order Lagrange interpolating polynomial for v(0.28) can be computed as v(0.28) = Lo(0.28)v(to)+L1(0.28)v(t1)+L2(0.28)v(t2) The correct value for L1(0.28) is Select one: A. 0.4800 B. 0.6400 O C. -0.2400 D. -6.1207

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: The data below gives a stock price over a 5-day period. Find the interpolating quartic polynomial…

A: Step 1: Step 2:

Q: A. FIND THE INTERPOLATING POLYNOMIALS OF ORDER 1 to 4 USING NEWTON'S DIVIDED DIFFERENCE (USE EXCEL)…

Q: Quiz 3: Using the data presented in the table below, evaluate f(12) using a third order Newton's…

A: Given data is: Third order Newton's divided difference interpolation: Third order Newton's divided…

Q: Table: t 0.2 0.4 0.6 0.8 1.0 1.2 v(t) 25 38 55 The second order Lagranges interpolating polynomial…

A: Here to=0.2, t1=0.4 & t2=0.6L1t=t-tot-t2t1-tot1-t2

Q: when x = 3.57 using quadratic Approximate y Lagrange Interpolating polynomial up to 3rd degree. Use…

A: Given table is xi yi 3.1 20.1810 3.2 22.5280 3.3 25.0470 3.4 27.7440 3.5 30.6250 3.6…

Q: Cosider the data below. Construct the divided difference table. x 8 12 14 y 24 15 43 In the Newton…

Q: A car travelling along a rural highway has been clocked at a number of points. T data from the…

A: Solution : The position of the car when t = 11s will be, 242.7

Q: 2) Given the data X f(x) Do the following: (a) Construct the divided difference table (b) Find the…

A: The given data is: (a) To Construct: The divided difference table. (b) To Find: Newton…

Q: a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find y if…

A: Note: Since you have posted multiple questions, according to our policy, we are only supposed to…

Q: Using the following table of points and using the polynomial method bessel interpolation, Calculate…

A: given x 0.1 0.3 0.5 0.7 y 0.79995 0.5992 0.3960 -0.0311 Using the following table of points…

Q: 5 Q. Rationalize the denominator of (J2–3)

A: As per the guidelines I can solve only first question

Q: Question 12 Which of the following is a quartic polynomial function with zeros 1 (order 2), 2, and…

A: I have given the answer in the next step. Hope you understand that

Q: 1.2 For the data f(x) 0 1 3 2 5 5 6 -18 Develop the divided-difference table and write down the…

A: The given data, x 0 1 3 2 5 f(x) 2 1 5 6 -18 We have to develop the divided-difference table…

Q: Name: Ash ynn Tippit 5.10 Assignment - Dividing Polynomial Functions 1. Use long division to divide…

Q: A function y = f (x) is given by the following table. X 4 7 12 21 Y В A 61 84 343 a) Explain and…

Q: Use newton divided difference to solve the equivalent interpolation polynomial of the given below,…

A: Using Newton's Divided Difference formula to find solution x f(x) 10 227.04 15 362.78 20…

Q: Data for a and y below are taken from one polynomial function with degree of n: 1. -2 0 1 3 S(x)…

A: The given problem is to find the interpolation polynomial for the given data using the Newton's…

Q: al/ Find the inverse trans formf (FB). 55+4 25-18 Fess=(

A: We will simplify the expression and apply inverse Laplace transform formula.

Q: Consider the function f(x)=exp(x). Let p=P₁ be the interpolation polynomial for the data x=(0,1) and…

A: Let P1 be the interpolating polynomial for the data (0,1) and (e0,e1). To Find: ∫01P1(x)dx using…

Q: [A] The following values are obtained from a certain fifth order polynomial. 9 37 243 1017 3109 7749…

A: The given values obtained from a fifth order polynomial is:

Q: 322. 2x49x³ +5x² - 3x6 is divided by x-4

Q: 1. Sketch each polynomial function: a) y =(x-2)³-3 b) y=-2x²(x+3) c) y=(x+1)(x−2)² d) y=x²-13x² +36

A: Since the student has mentioned to solve more than questions (question no. 1, 2, 10, 21, and 22).…

Q: Let f(x) = , find L, (x) of the second Lagrange interpolating polynomial, if x, =2, x, =2.5 , x, =4…

Q: Q.4: Use Lagrange interpolating polynomial of third order to find the general polynomial equation…

Q: Newton's forward difference for the function f given the values at some points below Create a 3rd…

A: Consider the given information. f(0)=1, f(0.2)=1.22140, f(0.4)=1.49182, f(0.6)=1.82212 Make the…

Q: Use differences to determine the polynomial function for the given data: f(x) 3 2 3 6 111 X -1 0 1 2…

Q: ID: A Name: 6. The table below gives velocity data for a rocket shortly after liftoff. Time (s…

A: Given table contains the velocity data for a rocket after lift-off.

Q: Find the Lagrange interpolating polynomial for this table 2 2.5 34 -1/3 3/32 4/3 25 I Y

Q: Determine the linear factors of the polynomial function: g(x)%D 3x-3x2-18x. 12 22 F x(3x + 2)(x- 3)…

Q: Example 4: Represent changes in area using polynomials A rectangle is twice as long as it is wide…

Q: I need a clear answer by hand, not by keyboard Determine the interpolating polynomials for the given…

Q: Question 1: Fit a second order polynomial to these points: i xi f(xi) 1 3 1.186294 5 1.591759 Use…

Question

Table 1
0.2
0.4
0.6
0.8
1.0
1.2
v(1)
25
38
55
73
88
102
The second order Lagrange interpolating polynomial for v(0.28) can be computed as
v(0.28) = Lo(0.28)v(to)+L1(0.28)v(t)+L2(0.28)v(t2)
The correct value for L1(0.28) is
Select one:
O A. 0.4800
B. 0.6400
C. -0.2400
D. -6.1207

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Indefinite Integral$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Please answer with explanation Thanks
Below are the data for the Lagrange and Newton interpolation polynomials separately: (Check the image for the data) a) Obtain the Lagrange interpolation polynomial passing through all the given points. Using this polynomial, determine the value z for the value x=2.52 b) Obtain the Newton interpolation polynomial passing through all the given points. Using this polynomial, determine the value z for the value x=4.57
numeriacl anlysis
Q4 Table Q4 contains dataset of a robotic arm during a force measurement on a thigh phantom. However, some collected data points appeared to be missing. Table Q4 Time (s) 10.5 13.1 15.2 Force (N) 9.27 – la 11.90 + la 13.83 – la Discover the missing data point at time = 11.5s by using: (a) Lagrange interpolating polynomial that passes through three points (b) Newton's divided difference (interpolation)
If the data was used to create a Newton divided differences Interpolating polynomial resulted in the following divided differences table: y 1s* D.D. 2nd D.D. 3rd D.D. 4t D.D. -2 3 0.333 0.074 0.119 -0.055 1 0.667 -0.267 w 1.5 5 2 -0.4 3 h 5 for Lagrange Polynomials the value of L2(1. 5) is equal to
Need help with this question. Thank you :)
The table contains some input-output pairs for the functions f and g. #f(z) 3 3 Evaluate the following expressions. a. f(g(7))=7 b. f-¹(10)=10 c. g¹(10) = 10 d. f(g(7)) = 7 Preview 18 Preview * Preview M Preview 467 1274 10 4 10 6 g(x) 6 6327 3 7 10 ol. 4
(a) Consider the table below for an arbitrary function y = f(x). 1| 2 3 4| 5 6 7| 8 f(x) 9 37 243 1017 3109 7749 | 16767 32713 58977 i. Draw a forward difference table for above table. Use your table to give the numerical values for: ii. Af2 iii. A²fa iv. Aºfi v. What is the degree of the polynomial from which these values were obtained from? (b) Find the specified higher order forward differences specified with the given en- tries: i. A°yo given that yo = 20, yı = 50, y2 = 90, y3 = 100, y4 = 150, y5 250. 200, y6 ii. A'yo given that yo = 79, yı 218, y6 = 250, y7 = 300. iii. A*y given that yo = 120, y2 150, уз 190, Ул 201, y5 160, y1 400, y6 = 410, y7 = 460, ys = 500. 200, y2 240, y3 = 300, Y4 = 350, y5
QUESTION 4 The Lagrange's interpolating polynomial for the below data is |-2 -1 f(x) 4 2x2 - 8x + 11 11 2x2 – 2x – 11 2x2 - 9x+ 11 None of these 2x + 9x + 11
x ƒ(x) 1 1,5709 4 1,5727 6 1,5751 Complete the divided difference table for the data and costract the interpolating polynomial that uses all Using forward-divided differences , Find f(3,5)=?