It is possible to write æ* as a linear combination of Chebyshev's polynomials, for example a² = ;To(x) + ¿T%(x) Suppose that 4 5a4 – 2r³ + 3x² – x + 7 =Ea;T;(x) i=0 What are the values of a2, and a3? O 4, -1/2 0, 3/4 1/2, 3/4 О 2.5, -1.5

Q: 1. 6р - 6 р 2 2p 9p - 9

A: To simplify the following expression.

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A: Given the table isRecord j01Record i0aba+b1cdc+da+cb+dp

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A: The degree of a polynomial is the highest power of the variable in a polynomial expression.

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A: Matlab is a programming and numerical platform to compute values, analyze , create model.

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 :-

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A:

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A: Given:The Legendre polynomials:Aim:To derive the Legendre polynomial.Concept Used:Power rule of…

Q: Also, our definition of the first 4 Legendre polynomials is: 1 Po(x) V2 P1 (x) = V5/2 (1 – 312)…

A:

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A: We have to solve 1. (x-7)(x-6)(x-5)(x+4)2. (x+6)(x+7)(x+8)(x+9)(x-10)

Q: -25 – 5x4 + 5x³ – 11æ² – 21x – 40

A: Given: f(x)=-x5-5x4+5x3-11x2-21x-40 To find: f'(x) and f''(x).

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A: Solution of given problem is followed by Newton's interpolation formula.

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A:

Q: 7) Determine the polynomial by Newton's forward difference formula from the following table: x y 0…

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Q: 5 19y +3

A: Given : 19y5+3   To Find : Degree of polynomial

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A:

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

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A:

Q: C. Divide the following polynomials using synthetic division. 7. x2-5x +4; x- 1 8. x- 6x - 4; x +2…

A:

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities?…

A: We have to find the zeroes and their multiplicities.

Q: QUESTION 2 2.1. Find the value of -3x²+ 8x-15 if x = -2. 2.2. (a) Add the following polynomials:…

A: Step 1: Step 2: Step 3: Step 4:

Q: Expand the f(x) = 10 + 8x +9x² in a seried of Legendre polynomials. O a 13P,x)– 8P,(x) – 6 P, (x) O…

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Q: Below are two Lagrange interpolating polynomials, L₁ and L2. Following these are interpolating poly-…

A: For the first Lagrange polynomial, the points are:  x0=2,x1=5,x2=6,x3=8 Now,…

Q: Then by using "Newton's interpolating polynomial method", the scientist got the following polynomial…

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Q: Transcribe the following text IN DIGITAL FORMAT

A: Given handwritten text. To do: Transcribe the given text in digital format.

Q: 4. Multiply the following polynomial using the FOIL method. (x - 1)(x+2) 0x²+x-2 Ox-1+2 2x²+x-2 2x²…

A:

Q: 1. Identify the degree, end behavior and roots (w (a) f(x) = r³(x + 1)²(x² + 9)(x² – 4) - (b) /(x) =…

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Q: Given (xi , xi2022 i ) ∀i = 0, ..., n, where x0 = −1, x1 = 0, x2 = 1, x3 = 2, ..., xn = n − 1. Write…

A: Given xi,xi2022∀i=0,1,2,...,n  Where x0=-1, x1=0, x2=1, x3=2,..., xn=n-1