If the Legendre polynomials P5 63 x5-70 x3 +15 x then: %3D Find 1) , x* Ps(x) dx 2) P',(-1) A) L* P,(2) dx = and P',(1) = -28

Q: if xo = 2, x1 = 3 and x2 = 4 the second degree polynomial for f(x) = using Lagrange Interpolation is

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Q: Factorize the polynomial f(x) =x^4−2x^3+x^2−2x as much as possible (explain each step), then find…

A: Given: fx=x4-2x3+x2-2x The aim is to factorise the polynomial and find its sign depending on x.

Q: factor this derivative: 2/3x-1/3(x+4)2+x2/3 2(x+4). must show all steps

A: Solution -    Given equation -  f(x) = 23 x-13x+42+2 x23(x+4) = 0 f(x) = 2 x+423 x13+2 x23(x+4) = 0…

Q: Using pencil, paper and calculator, form the Lagrange interpolating polynomial corresponding to the…

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Q: Differentiate and simplify

A: The derivative of ln x is 1x.

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: Consider the data (1,10), (3,6)(1,10), (3,6). Then, Newton's polynomial that interpolates the data…

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

Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

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Q: 2 2(3)' Find: i=1

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Q: I really need help with this problem

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Q: 3xy If z determine 2x - 3y

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Q: Find x. (3x-17)° (x+40)° (2x-5)° 3D= delivery/atat/54e99100907ctions wedwbmistionid-69-

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Q: x^2(1-2x)^5 Find y`

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Q: What are the zeros of the polynomial function f(x) = æ4 – 3a – 202 + 6x? O (-2,0), (–/2,0), (2, 0),…

A: By using Horners method

Q: Find f(5x5 + 6x²) dx

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Q: (B) Evaluate f tan (7x +1) sec³(7x+1) dx.

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Q: B Sin3X 6653X + X3

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Q: f(x)=4x' +2x°+lx² -9x° +7x +6

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Q: Does S = {x² + 1,x² – 1, 2x – 1} span P2?

A: we know dimension of P2 is 3 so any set which span P2 must have at least 3 elements. here given set…

Q: Express as a polynomial.

A: given: a-ba3+a2b+ab2+b3 we have to express it as a polynomial.

Q: > For y, polynomial x = y₁ 1 D²-2 [x²] y, = [-1-D² +...]. [2x+3]

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Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

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Q: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x). Find all the zeros.

A: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x).Find all the zeros.

Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

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Q: Let k(x)=〖2x〗^2-4x+6, find k(-3)

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Q: Jx²+2 Lim X-7 3x -6

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Q: Find y(5) if a second-degree polynomial is fitted to the data points (1, 4), (2, 6), (3, 9), (4,…

A: The given problem is to find the second degree polynomial and find the value of polynomial at x=5…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.