Exercise 2 Fit a second-order polynomial to the data in the following set of data x, 31 27 -1 23 -3 -5 -7 19 15 11 -10 7 -15 -25 3

Q: Find the interpolating polynomial of the following points or functions using Newton's

A: Given: The points -2, 2, -1, -2, 1, 3 and 3, -3. To find: Interpolating polynomial.

Q: Write a possible function for the polynomial shown: 3- 2- 1+ -2 -1 -1+ -5 -4 4 6. 72 3- 4-

A: Since given polynomial has zeros as x=-3,2,2,5 Therefore, possible function can be

Q: hè upward velóčity óf

A: Given :-  The upward velocity of a rocket is given as a function of time. t  s v t  0 0 10…

Q: Q1-Using the nodes (x, =2, x-=2.5 and x; =4), to find the second interpolation polynomial for flx) =

A: Given nodes are x0=2, x1=2.5, x2=4 and function is f(x)=1x Now table is x 2 2.5 4 f(x) 0.5 0.4…

Q: Consider the data in Table. Using direct fit polynomials, calculate P₂(4.25) using: (a) the first…

A: Given: A data in the table. x F(x) 3 3.3333 3.5 3.7857 4 4.2500 4.5 4.5222 5 5.2000…

Q: The generally polynomials are of the form Select one: a. b. O C. d. an" + an-x-1 + ... + aix+ ao…

A: Polynomial A polynomial is  an expression which includes variables, constants and exponents, that…

Q: B: Fit a second order polynomials to the data in the following: 5 6 7 12 13 10 X Y 1 4 3 mco 8 4 10…

A: Solution :-

Q: Generate the 6th degree Legendre polynomial.

A: Solution

Q: 3Fita secand order polynomial bo the dafa in the table below X 1 2. 18 27

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Q: The generally polynomials are of the form Select one: anx+an-1x²-1 + ax + ao O b. an" + an-x-1+...+…

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Q: X210/ kit the second order polynomial to the following data 1 2 3 4 5 1.8 5.6 8.4 11.8 3.4

A: consider the second order polynomial asThe normal equations are:…

Q: Convert the following polynomials to factorial polynomials 1. x³ + 8x² - 4x - 1 2. 2x45x³ + 2x² - 4x…

A: The given polynomials are: 1. x3+8x2-4x-1 2. 2x4-5x3+2x2-4x+9 3. x4+2x3+x2-6x-4 We have to convert…

Q: A constant temperature, pressure-volume thermodynamic process has the following data: Pressure 420…

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Q: Given the points Po = (0.0, 1.0), P1 = (2.0,2.0), and P2 = (3.0, – 1.0). Write down the coefficients…

A: Given points are  P0=0.0, 1.0=0, 1; P1=2.0, 2.0=2, 2; P2=3.0, -1.0=3, -1 We have to find the…

Q: A country's census lists the population of the country as 263 million in 1990, 286 million in 2000,…

A: p(x)=-3/100 x2 + 2x + 286 For 2020, (x = 20): p(20) = 314 For 2030, assuming that (x = 30): p(30) =…

Q: Given k data pairs, a unique polynomial can be constructed using k data points with degree OAK-1 O…

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Q: Name: Date: 4-21-2022 Score: A. Complete each function table. 1) Jx) -x- 11 2) fx) =4 + 9x 3) fx) =…

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Q: For each of the polynomials below, state the degree and the number of nonzero terms, and select the…

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Q: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 7 10 8 9 93…

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Q: х-2 y = at [-1,1] x²+1

A: The given problem is to find interpolating polynomial for the given function and interval using…

Q: 5. Find the best fit by a first degree polynomial for the following data: x -3 -1 0 2 y 8 5 4 1

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Q: Question 16 (1 point) What are the linear and quadratic factors of the expression 8x - 8x? I

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Q: c) The volume of a box varies at different widths. 3. 4. Width (cm) Volume (cm³) 200 225 250 275 300

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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: Which polynomials are prime? Check all that apply.

A: Given,          Factor the polynomials.

Q: What is the order of the unique Lagrange inter- polating polynomial that passes through n + 1 data…

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Q: Given a set of three data points {(0, 1), (2,5), (4, 17)}. Determine Newton's interpolation…

A: We have: x 0 2 4 y 1 5 17 We make a table of Newton's forward difference : x y ∆y ∆2y 0…

Q: Q4) Fit a second order polynomial to the following data 5 6 1.2 1.6 4 6.25 i 1 3 4 0 0.4 | 0.8 0…

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Q: 10. Determine whether the following polynomials span P2. P, =1+x, P, =1-x, P, = 1+x+x, P, = 2-x

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Q: (1) For each member of your group record their response to: Give an example of a polynomial and an…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Q// Fit a second-order polynomial to the following data: Y 9 8 3 7 9 11 9 6 1 7 1 3 10 9. 1 a. y =…

A: Given x y 9 8 0 3 7 9 11 9 6 1 0 0 0 7 1 3 8 10 9 1

Q: (b) The following list shows some values obtained from a polynomial of degree four for a particular…

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Q: Which of the following is the graph of an even-degree polynomial with a positive lead coefficient?

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