Answered: Let P(x) be the Lagrange interpolating…

Let P(x) be the Lagrange interpolating polynomial that fits the data(-1,2); (4,2) and (7,5). Then P(3) is: 25/7 O 25/9 O 3/2 O 29/8

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 32E

See similar textbooks

Related questions

Q: 1.a) Find the Lagrange interpolation polynomial f (x) such that f(1) = 11, f(3) = 5, f(4) = 3. b)…

A: Lagrange's Interpolation: Consider the data set x0, y0, x1, y1, x2, y2, ⋯, xn, yn. The Lagrange's…

Q: Let P(x) be the Lagrange interpolating polynomial of S(x) = x³ – 3x + 3 at the points x, = 0; x, = 1…

Q: The Lagrange polynomial passes through three data points (15, 24), (18, 37), (22, 25). Find Lo(x) at…

Q: Find the second Lagrange interpolation polynomial that fn tercepts f(x)= x2+xe*+sînx at points xo=0,…

A: NOTE: A, B and C are not subparts, they are options and we have to choose the correct one. We have…

Q: Find the Hermite interpolating polynomial for the function f(x) = √x satisfying the conditions…

A: According to Hermite interpolation the error is given by:…

Q: Use the given data, for some function y, to construct the Lagrange interpolating polynomial of the…

Q: Q.4: Find the third order Lagrange interpolation polynomial using the following table to compute…

Q: Let P(x) be the Lagrange interpolating polynomial that fits the data (–3,1); (-1, 3) and (4, 3).…

Q: The Lagrange polynomial that passes through the 3 data points (Xo,Vo) = (15,24), (x 1,V1) = (18,37),…

Q: Let g(x)= Vx . Form a Lagrange interpolating polynomial of degree two to approximate the value of…

Q: Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = 3x² + 2 at the points x, = 0; x, = 1…

Q: Let P(x) be the second degree Lagrange interpolating polynomial that fits the data (0,0), (1,2) and…

Q: Construct the Lagrange interpolating polynomial L3(x) = yolo(x) + yılı(x) + yzl2(x) + yzl3(x), for…

A: Legranges interpolation

Q: The Lagrange polynomial that passes through the four data points is given by x 15 18 22 30 y 24 37…

Q: Let g(x) = Vx . Form a Lagrange interpolating polynomial of degree two to approximate the value of…

Q: Construct the Lagrange interpolation Polynomial for the function Y= Sin Tx, the ponts =0, 2, =…

Q: Approximate f′(2)f′(2) using the given data f(0)=−8,f(0)=−8, f(1)=−7,f(1)=−7, f(2)=0,f(2)=0, and…

Q: Let P(x) be the Lagrange interpolating polynomial of f(x)%3= 3x +3 at the points Xg 0: x 1 and x; =…

A: 1/15 is the answer.

Q: Let P(x) be the Lagrange interpolating polynomial of 1. f) 2x+3 at the points x, - 0, x, = 1 and x,…

A: given that fx=12x2+3 and x0=0, x1=1,x2=3 find f'(2) using Lagranges interpolation formula we know…

Q: Consider the function f(x)=x+2x.f(x)=x+2x. Construct the Lagrange interpolation polynomial which…

A: Lagrange's interpolation formula for n points can be defined as:…

Q: Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = at the points xo = 0; x, = 1 and x =…

Q: (a) Develop a table of f(x)=2e* + 3x for x = 3, 5, 7 and 9. (b) Estimate f(4.2) using the…

Q: Let P2(x) be the interpolating polynomial for f(x) at xo = 0.5, x1 = 1.2, and x2 = 2. Find a bound…

Q: Use the numbers x, = 2 , x, = 3 and x, = 4 to find the second Lagrange interpolating %3D polynomial…

A: First of all we have to find the second Lagrange interpolating polynomial for f(x)=1/x Then we have…

Q: Let P(x) be the Lagrange interpolating polynomial that fits the data (-2,3); (2,4) and (4,3). Then…

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

Q: 2. y = cos ( 2x ) at x = [0,r] with four equally spaced points. %3D

A: The interpolation techniques are used to establish the functional relationship between any two…

Q: For f(x) = ²x - x, construct the second Lagrange interpolating polynomial using the nodes xo = 1, x₁…

Q: Let P(x) be the quadratic (2nd degree) Lagrange interpolating polynomial at the interpolation points…

A: Suppose we are given three distinct points x1,y1,x2,y2 and x3,y3 then the quadratic Lagrange's…

Q: Let P(x) be the Lagrange interpolating polynomial of f(x) = x³ – 3x + 3 at the points x, = 0; x, = 1…

Q: Approximate f' (2) using the given data f(0) = 1, f(1) = 2, f(2) = 4, and f(3) = 7 and the Lagrange…

A: Given data points are: x x0 =0 x1 =1 x2 =2 x3 =3 f(x) 1 2 4 7 Lagrange interpolation…

Q: (a) Construct a second degree Lagrange interpolating polynomial for f(x) = ! at the nodes x1 = 2, at…

A: The Langrange's interpolation method can be used to calculate the polynomial approximation for the…

Q: Use the numbers (called nodes) x_0=2, x_1=2.75, and x_2=4 to find the second degree Lagrange…

Q: · Construct the Lagrange interpolation polynomial for the data 1 2 -1 f(x) 1 1 5 -1 Hence,…

Q: Let f(x)=√x-x² and P2(x) be the interpolation polynomial on x=0, x, and x = 1. Find the largest…

Q: Let P(x) = 20x* - 7x³ be the Lagrange interpolating polynomial that approximates a function f over…

A: Sol: Px=20x4-7x3Since it approximate the function -1,1Approximation of ∫-11fxdx mus t be equal to…

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

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

Q: Let f(x) = , find L, (x) of the second Lagrange interpolating polynomial, if x, =2, x, =2.5, X2 =4…

A: Find second order Lagrange interpolation polynomial

Q: The Lagrange polynomial interpolating the function f(x) = 1 + x + x + x at the nodes 0, 1 and 2 is

Q: Consider the function f(x) = 12, x = [0, 2]. Construct the Lagrange interpolation polynomial which…

A: Given function is fx=x21+x2, x∈0,2. We have to construct the Lagrange's interpolation polynomial…

Q: Use appropriate Lagrange interpolating polynomial for the following table and approximate f(1.5) Xi…

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

Q: 6. For f(x) = 2x - x, construct the second Lagrange interpolating polynomial using the nodes xo = 1,…

A: Given as, f(x)=e2x -x x0 =1,x1 =1.25,x2 =1.6.

Q: 4. Let P,(x) be the Lagrange interpolating polynomial for the data (0,0), (0.5, y), (1, 3) and (2,…

Q: Let P(x) be the second degree Lagrange interpolating polynomial that fits the data (1,1), (2, -1)…

Q: Q3. Use Lagrange interpolating polynomials of order а) 1 b) 2 c) 3 to determine y at x=1.32 for the…

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

Q: Q.3: Determine the Lagrange interpolating polynomial by using second order form for the given data…

Q: Q.4: Find the third order Lagrange interpolation polynomial using the following table to compute…

A: The given table is x 8 9 9.5 11 f(x) 2.07944 2.19722 2.25129 2.39789 The objective is to…

Q: For f(x) = 2x - x, construct the second Lagrange interpolating polynomial using the nodes xo = 1, x₁…

A: The second order Lagrange's interpolating polynomial for 3 points can be defined as:…

Q: Find the linear interpolation Lagrange polynomial P1(x) using the following data: (Xo.Yo) = (0, -1)…

Question

Let P(x) be the Lagrange interpolating polynomial that fits the data(-1,2); (4, 2) and (7,5).
Then P(3) is:
O 25/7
25/9
3/2
O 29/8

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

Quadratic Interpolation

VIEW

To find the value of P(3)

VIEW

Step by step

Solved in 2 steps with 2 images

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.