i Yi -2 3. -1 x2-9x+8 3. 1. 1, 2.

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

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Q: y = exp( 2-x ) at x = [-1,2].

A: Given   y=e(2-x) , in the interval x=-1,2 So the value of y at x=-1,0,1,2 are…

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

A: Given data:   0 1 2 x -2 2 4 y 3 4 3

Q: (a) Table 1 shows the COVID-19 data in Malaysia. Compute using Lagrange Interpolating Polynomial: i.…

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

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Q: Find the linear polynomial p(x) = a1x + ao, that interpolates the two points with coordinates (3, 0)…

A: Given query is to find the equation of the line.

Q: 4. The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

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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: Construct the Lagrange Interpolation polynomial for the fundlion y= Sinin taking the points. 6.

A: Given  y=sin(πx)x0=0,x1=1/6,x2=1/2

Q: From the given data, identify f(4) using Newton's polynomial. (2,10), (3,15), (5,25), (8,40)

A: Explanation of the solution is given below....

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: 32. The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

A: Newton's farword diffrence formula

Q: A polynomial of degree n is developed using the interpolation method which based on the n-1 number…

A: Note : As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Use Algorithm 3.2 to construct the interpolating polynomial of degree three for the unequally spaced…

A: In the question it is asked to construct interpolating polynomial using the table given in question.

Q: Determine the linear interpolating polynomial that passes through the points (2,4) and (5,1). p(x) =…

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Q: From the given data,identify f(4) using a Lagrance and Newton's polynomial…

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Q: Neville’s Algorithm is used to approximate f (0) using f (−2), f (−1), f (1), and f (2). Suppose f…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Consider the tabulated data and suppose that (Oo(r) is the interpolating polynomial obtained by…

A: Take a quadratic polynomial as the interpolating polynomial. Apply the interpolation properties to…

Q: 2. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

A: Given: x 0 1 2.5 3 4.5 5 6 y 2 5.4375 7.3516 7.5625 8.4453 9.1875 12 To find: Construct the…

Q: Change the following data, such that the data follows a certain fourth-degree polynomial. X: -2 -1 0…

A: Newton's divided difference formula can be defined as:…

Q: Use appropriate Lagrange interpolating polynomial to approximate f (8.4), if S(8.1) =16.94410,…

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

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Q1 Table below contains dataset of a robotic arm during a force measurement on a thigh phantom.…

A: given data  Time(s) 10.5 13.1 15.2 Force(N) 9.27 11.90 13.83 (A) lagrange interpolating…

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: A third degree polynomial passes through the points (0,-3),(1,0) (2,9), (3,30), (4,69) and (5,132),…

A: See the attachment

Q: Let P(x) be the interpolating polynomial for the data (0, 1), (1,3), (4, -3). Then P(2) = 3 4 -3 1

A: Here are 2 ways to solve find the solution In 2 method we will use this lagrange interpolation…

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

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Q: Using the given data, we see the largest change in Y is between X = -8 and X = -7. Y X 19.1 0 19.1…

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Q: Define the Newton form of the interpolating polynomial?

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

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Q: 5. Is the following set of polynomials linearly independent in P3? Explain your work. 1+ 2t³, 2 +t –…

A: As per our guidelines we are supposed to answer only first question. Please repost other question…

Q: b) The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

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Q: Let P(x) be the Lagrange interpolating polynomial that fits the data (1,2): (4, 3) and (7, 3). Then…

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Q: 2.Use the Newton interpolation polynomial to find f(0.05) based on the following data points {(-0,5,…

A: Given data is  {(-0.5,0.97939),(0.15,4.72743),(0.5,13.69506),(1,61.25661)} we have to find the value…

Q: 2. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

A: A table with values x and y is given below, x 0 1 2.5 3 4.5 5 6 y 2 5.4375 7.3516 7.5625…

Q: 3. For the following data set, find the interpolating polynomial by the Lagrange's Method. 2. 4.

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Q: Consider the following data (xy): (-2, 1), (0, 3), (2, -1). Find the interpolation polynomials P(x)…

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Q: A car traveling along a straight road is clocked at a number of points. The data from the…

A: Initially  Use a Hermite polynomial to predict the position of the car and its speed when t = 10 s.…

Q: The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in the…

A:

Q: Which of the following third degree interpolation polynomials can be developed from the given data…

A: Given x 0 2 4 6 y 2 4 14 40

Q: 1#Use appropriate Lagrange interpolating polynomial to approximate f(7.2) , if f(7.1)=6.94,…

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

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Q: b) The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

A: Percentage  of lead in the alloy (p) 50 60 70 80 Melting Point (Q0 C) 205 225 248 274 to find…

Q: Which of the following polynomials has zeros at x = -6 (which is a bounce point), and x = 4 (which…

A: Given data  Polynomial has zeros at x=-6(bounce point) Polynomial has zeros at x=4(cross point)…

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

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Q: Consider the following data (xYk): (-2,0), (1,– 1), (3, -2). Find the interpolation polynomial P(x)…

A: Given x0=-2 , y0=0         x1=1 ,      y1=-1        x2=3 ,      y2=-2The interploting polynomial…

Q: QCx) = (x +s)? (x=3)4 %3D

A: Q(x)=(x+5)2(x-3)4

Q: The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in the…

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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,…