Q3. Use Lagrange interpolating polynomials of orderа) 1b) 2c) 3to determine y at x=1.32 for the data given below.1.250.2231Xị1.201.301.351.401.451.50yi0.18230.26240.30010.33650.37160.4055

Let x0=1.20x1=1.25x2=1.30x3=1.35fx0=0.1823fx1=0.2231fx2=0.2624fx3=0.3001 The, Lagrange…

Q3. Use Lagrange interpolating polynomials of order а) 1 b) 2 c) 3 to determine y at x=1.32 for the data given below. 1.20 1.25 1.30 0.2624 Xi 1.35 1.40 1.45 1.50 yi 0.1823 0.2231 0.3001 0.3365 0.3716 0.4055

Q3. Use Lagrange interpolating polynomials of order а) 1 b) 2 c) 3 to determine y at x=1.32 for the data given below. 1.20 1.25 1.30 0.2624 Xi 1.35 1.40 1.45 1.50 yi 0.1823 0.2231 0.3001 0.3365 0.3716 0.4055

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 length of North Sea sole, a species of fish, can be determined using the von Bertalanffy model…

A: Given:- L=14.8−19.106×0.631t a) t(years) L(inch) 1 2.7441 2 7.1927 3 9.9998 4 11.7711…

Q: 1. Perform the following calculations in R/RStudio using this R markdown template and write your R…

Q: Determine the type of function which matches best to each scatter plot. X-Y Plot 7. 5n 3. 21 1 2. 5.…

A: Regression techniques can be broadly classified into linear regression and nonlinear regression. In…

Q: A melittologist measures the population P(t) of a bee hive after t months and records the results…

A: a). According to given table slope at given point is: P'2=P4-P04-0P'2=22500-50004=4375…

Q: X N° of recharge [2,000 - 3,500[ 15 [3,500 - 5,000[ 18 [5,000 - 10,000[…

A: b)

Q: Use the computer output to estimate the intercept o and the slope B₁. Coefficients: Estimate…

A: The regression output is given as: Coefficients Estimate Std. Error t value Pr(>|t|)…

Q: A. For the function f(x) = -8x² - 6x + 1 find mec =, the slope of the secant line between the values…

Q: i 1 2 0 |11 |12 13 | 14 | 3 4 5 7 8. 12 15 Xj 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0…

A: Here, plot the above data points on the xy - plane and connect them with a smooth curve.

Q: (Review Algebra 1: y = mx + b) Find the slope, m, of the function 3x + 7y = 9 Sample solution: for -…

Q: [Q1] The relation between the independent variable x and y obtained by performing experiment is…

A: Given: The relation between the independent variable; x 1 3 10 16 26 36 y 42 50 75 100 150 200…

Q: Ch. 3 Test Which of the following lines is parallel to the line with the given equation: 4x + 2y = 6…

Q: 3- -1 0 2 3 4 6. 7 %24

Q: A student wanted to find the value of factor A experimentally in the equation F-9.2Av². If the…

A: Given the equation is F=9.2Av2 and the student plotted the values of F on the y-axis and the values…

Q: Which table of values represents a linear relationship? xf(x) -1 -3 -2 1 1 6. 13 1) f(x) -1 2. 8. 2)…

Q: d. Find the 25-th and the 95-th percentiles of the distribution of revenue when A = 2. [The p-th…

A: d. P(R<R_p) = p P(100+20A+X<R_p) = p P(100+20*2+X<R_p) = p P(X<R_p-140) = p…

Q: the tables below: 2) INPUT OUTPUT F(x) -1 648 1 216 72 3 37 4 I noticed that... 2.

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The…

Q: a. What is p(t)= b.By using the function from part a, what is the answer in integer ?

Q: f(x.y) = Vx +y°; (3, – 4); estimate f(3.07, – 4.05)

Q: this phenomenon occurs often to most economic variables. To illustrate the point example, consider…

A: Solution : Given : x : Cell phone subscribers y : Top U.S Law firms gross revenue A.…

Q: a. From the table below, find the interpolated value of f(2.2) to 3 decimal places using; i. ii. The…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. If f is a coordinate system on a line /, determine whether or not each of the following functions…

A: We need to determine whether each will be a coordinate system or not.

Q: #7 The following is a table of the average weekly study time (x) and the score on a MAT 1272 exam…

A: Correlation Coefficient: It is one of the statistical measures. It is used between any…

Q: In the tables below, the percentage of time that students did not attend class (x), and the…

Q: 5. Let f(x, y)= P(X =x,Y = y), X = 2,3,4, Y = 1,2,3, 4 , where P is given by the table below: X = 2…

Q: If R₂(x) is the second degree Lagrange interpolating polynomial for the data Xi Yi where the…

Question

Q3. Use Lagrange interpolating polynomials of order
а) 1
b) 2
c) 3
to determine y at x=1.32 for the data given below.
1.25
0.2231
Xị
1.20
1.30
1.35
1.40
1.45
1.50
yi
0.1823
0.2624
0.3001
0.3365
0.3716
0.4055

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

part a

VIEW

part b

VIEW

part c

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Interpolation$

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

You have the following data points which belong to a function of the form y = aei, where b can be positive or negative. 34.1 11.6 9.38 2.00 4.00 5.00 You wish to determine the value of the constant, b, and to do so you will construct a linear plot. What will you plot against what? Y-axis label: x-axis label: From the values of x and y in the table above, calculate the values of the three corresponding data points. Click on use the "Freeform Curves" tool to plot the data. Line segments will automatically connect the points. graph belo Enter Solution What is the numerical value of the constant, b? Previous Next b =
1. Find a polynomial to interpolate the data. 2. Find f(4.5)? 3. If you know that the exact function is f(x)=x³, find the True percent relative error? f(x) F[ ] F[,] F[,,] F[,,,] F[,,,,] 1 1 8 27 4 64 125 216
You have the following data points which belong to a function of the form y- ae", where bcan be positive or aegative. 3.78 2.75 2.01 0.100 0200 0.300 You wish to determine the value of the constant, b, and to do so you will construct a linear plot. What will you plot against what -axis label -axis label From the values of z and y in the table above, calculate the values of the three corresponding data points. Click on the graph below, and use the "Freeform Curves" tool to plot the data. Line segments will automatically connect the points. What is the numerical value of the constant b Sutmit Ansr Reiry Knt Croup attemph
4. On square JKLM below, if J is located at (-2, 5) and K is located at (2, 2), what is the slope of LK ? 1.
NOT ANSWER B
3. Let P3 (x) be the interpolating polynomial for the data (0, 3), (1, 4), (2, y), and (3, 0). The coefficient of x3 in P3 (x) is 5. Find y.
2. From the following data, perform the required curve fitting: 2 3 7 21 4 3 5 15 12 14 27 36 42 a. Determine the equation of a line that fits b. Set a 2nd order polynomial to the given data