Question: Write a Python program to construct Newton's Divided difference interpolating polynomial to approximate f(2.7) using the following data from the table. 2.5 3.5 4 y 0.6932 0.9163 1.0986 13672 1.5728 1) Find out the divided differences and print them as a table. 2) Print the approximate value of the function for the given value of x.(use 4 digit rounding)

Q: (),-- dz For z = -5x* – 3y and a point PER², you have = -4. dz Determine the value of

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Q: sin x cos x 1 - sin x 2 sin x 2 cos x Зcos x -1

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A: For a fixed point z, we have f(z) = z.  => (3 - 4i)z + 2 - 7i = z => (2 - 4i)z = -2 + 7i =>...

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Q: Let f : R → R with f(x) = -2x +5 Prove that f is onto.

A: Consider any real number a. i.e, a ϵ R.  Then (5 - a)/2 is always a real number. 

Q: Q. find the apPtoximation of the follo values, which Ts dfetent betueen the intelers 22/7 dr - 2+ si...

A: We can solve this using trapezoidal rule

Q: Matrix A: 1 3 4 6.

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Q: a) Find all m 2 1 such that 27 = 9 (mod m).

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

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A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Suppose that E1 and E2 are measurable sets. Prove that m(E1 U E2) + m(E n E2) = m(E1) + m(E2).

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Q: Q: Let f(x) = x² – 2 - 2 < x < 2, period = 4 Sketch the graph of f (x) 2- Is f(x) odd or even, or ne...

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Q: Approximate the value of f"(2.156) if f(x) = 2tan(x) + %3D cos(2x). h = 0.003 %3D O -18.22610955 O 8...

A: Here the given function is f(x) = 2tan(x) + cos(2x)

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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Q: use cramer's rule to solve the following system 2x1+x2-3x3=0 4x1+5x2+x3=8 -2x1-x2+4x3=2

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Q: For z = -5x* - 3y-6 and a point PE R?, you have (23. ) dy = -4. dz Determine the value of P.

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Q: Let f: R → R with f(x) = -2x + 5 Prove that f is onto.

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Q: the picture gives the equation, please answer the following two questions i typed below in a digital...

A: Given-  Maximize: P = 12x1 + 10x2subject to:5x1 + 3x2 ≤ 15x1 + x2 ≤ 4x1 ≥ 0, x2 ≥ 0 To find-  d) Is ...

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Q: nize: P=12x1 +10x2

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A: Since α ∈ F, x- α ∈ F[x]. Also f(x) ∈ F[x].

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Q: Let

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A: The Lagrange's interpolation formula is given by  fx=x-x1x-x2x-x3x-x4x0-x1x0-x2x0-x3x0-x4y0+x-x0x-x2...

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Q: a² sin(2y – 52) =1+ycos(6zx) 4.xsin(2y – 5z)+ sin(2zx)6zy O A. cos(2y – 52)(-5)a² + sin(3zy)6xz 4.xs...

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