If the Fourier transform of f(t) = { √3 2

Q: Let f(x) = sin x. Find a polynomial P(x) of degree at most 2 such that P(1) = f(1), P(1.1) = f(1.1),…

A: So we have to do a lagrange interpolation to approximate the function f(x) = sin(x) about the…

Q: For which value of x does the Maclaurin polynomial Tn satisfy Tn(x) = f (x), no matter what f is?

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Q: find the residue at each pole of the function 1 f(z) = (2² - 2x + 2)² 2z

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Q: nsider the following. -2x5 + 9x4-7x³ - 12x = 0, [3,4] ) Explain how we know that the given equation…

A: In this question, we will find the solution of the equation.

Q: Q4. Use Newton forward-difference formula and construct appropriate interpolating polynomial and…

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Q: Expand the following function in terms of Legendre polynomial: 35(cos(theta))^4

A: Given the function,                           35cos4θ.

Q: The zeros of the polynomial function f(x)=x² – 2x² – 15x are: a. {-5,–3,0} . b. {-3,5} . c. {-5,3} .…

A: We have the given function as fx=x3-2x2-15x On solving further by making factors, we get the result…

Q: d [In(x² + 1)] = d [In(x2 + 1)] x2 + 2.x Given the derivative find the derivative dx Simplify 4. dx…

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Q: 3. Find a second-degree polynomial P such that P(2)=9, P'(-1)=-13 and P"(5)=6.

A: We have to a second digree polynomial, which satisfies the given conditions. Standard form of a…

Q: The Maclaurin polynomial of degree 4 for the function f(x) = cos(x) is %3D

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