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

Q: Let P(x) be the Lagrange interpolating polynomial of the function f(x) = In(x-2) at the nodes x, =…

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

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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: Use this interpolating polynomial for the data points f(x) 1 0-368 1-2 0-301 1-3 0-273 1.5 0-223 To…

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

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Q: 2.1 Find the appropriate Lagrange interpolating polynomial using the following data table 2 0 0.5 1…

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Q: For the given points X, = 1, x =1.5, x, = 2.5 and x3 = 3. Find Lagrange Interpolation polynomial ww…

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Q: The Lagrange polynomial passes through three data points (3, 11), (9, 10), (26, 21). Find p2(x) at x…

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Q: Let P(x) be the Lagrange interpolating polynomial that fits the data(-1,2); (4,2) and (7,5). Then…

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Q: Let P(x) be the Lagrange interpolating polynomial of the function Ín(x=2) f(x) at the nodes x, = 3,…

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Q: Form the interpolating polynomial of degree k that satisfies pG) (xo) = f(G) (xo) for 0<j< k.

A: To form: The interpolating polynomial of degree k that satisfies pjx0=fjx0 for 0≤j≤k

Q: Obtain the Lagrange interpolating polynomial using all the data points below: 0.5 1.0 1.5 2.0 2.5…

A: Introduction: The Lagrange interpolating polynomial is a basic interpolating polynomial that fits…

Q: Consider the interpolating polynomial for f(x) = x³ based on th points (0,0), (1,1) and (2,8). Find…

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

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

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

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

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

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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…

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Q: For the given points X, = 1, x =1.5, x, = 2.5 and x, = 3. Find Lagrange Interpolation polynomial for…

A: Given function is f(x)=x2esinx+ln(sinx) Find 'f(x)' corresponding to given values of 'x' x 1 1.5…

Q: Let ro = -a; xi = 0; and x2 = a. Compute the interpolation polynomial for f(x) = -r* using Lagrange…

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Q: IB) Find the cnber of curvatee, eguation of the curde of cuuunfure f (x)> Jax of the gmph. of at x=…

A: Consider the given curve as, fx=2x at, x=4 Let y=fx=2x

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

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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) mnd (4, 3). Then…

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

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

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Q: . Suppose that f is a polynomial of degree 1 and s1, is the linear spline that interpolates f at the…

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

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

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

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Q: Compute the interpolating polynomial through the points (–1, 5), (1, –3), (3, 21) using the…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

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

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Q: 10) Use Lagrange coefficient polynomial L3,2(x) to find L3,2(5) using the nodes Xo = 3,x1 = 4, x2 =…

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Q: Let f(x) = cos(E) and P(x) be the interpolation polynomial of degree at most 3 which agrees with…

A: Neville’s method generates Lagrange’s approximations recursively. In Neville’s method, we denote…

Q: Let P(x) be the Lagrange interpolating polynomial of f(x) = 2x2 +3 at the points xo = 0; x1 = 1 and…

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

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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,…

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Q: Find the Taylor polynomial centered at C=4 f(x)=x1/8,     n=3

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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: Construct the fourth degree Taylor polynomial at x = 0 for the function f(x) = 4V1+ x. P4(X) =O

A: We have to the fourth degree Taylor polynomial at x=0 for the function f(x)=4[4√(1+x)] By using…

Q: Suppose that Pɔ(x) is the second degree Lagrange interpolating polynomial for the data: 1 2 Yi 3 6…

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Q: Find the interpolating polynomial of the following point and function using the Lagrange…

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Q: 1. Use the numbers x, =1 , x, = 2 and x, = 3 to find the second Lagrange interpolating polynomial…

A: We have x0=1, x1=2, x2=3 The polynomial is fx=x-2=1x2 Therefore,…

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.