Use the data given below to estimate f(3) b X 1 2 4 f(x) 5 12 62 Constructing & a. Linear polynomial b. Quadratic polynomial c. 3rd order polynomial Compare the error of the three cases 2

Q: Using the given data, we see the largest change in Y is between X = -8 and X = -7. Determine the…

A: Given: A number of data points X,Y.   To determine: The value of Y at X=-7.5 using the direct method…

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Q: What are all the zeros of the polynomial function f(x) = 3x³ – 5.x² - 10x – 62 A x=±3 only B x = 3,…

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Q: each polynomial funct X 1 ~345 2 69 7 y -4.5 0 5.5 12 19.5 28 37.5

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Q: 5. (a) Evaluate the polynomial y=2²-82² +12z-0.45 at z 2.378. Use 4-digit arithmetic with chopping.…

A: Given,y=x3-8x2+12x-0.45 and y=x-8x+12x-0.45To find: Value of given polynomials with chopping and…

Q: lumn A Column B 1. a. -5) | b. -4) used twice 1. x + 7x +6 C. x+6) used twice 2. d. (2x-1) 2. x² -…

A: Solve equation and match with column two.

Q: What are the zeros of the polynomial function ?(?) =(? + 5)(? − 3) A. {−5, −3} B. {5, −3} C. {−5,…

A: To find the zeros of the polynomial function.

Q: Which of the following is a polynomial function? C. 2x+7 A. g(x)=√x-7 y = B. f(x)=2*-5 D.…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: ) Express 8-x over Q[x] and over F2[x] as a product of irreducible ynomials.

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Q: Using the second degree Lagrange interpolating polynomial, P2(x), for the data 0 1 3 4 f(x;) 11 9 13…

A: Legranges interpolation formulae.

Q: gou "A. Determine if the given is a polynomial expression, a polynomial equation or a polynomial…

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Q: Calculate the first three Legendre coefficients for f (x) = x² + 1 and then express the f(x) in…

A: The solution of the differential equations are the functions that satisfies the differential…

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: By using the polynomial that passes through all points in the table; Calculate the function values…

A: From the table, x0=0, h=1

Q: Fit a cubic polynomial to the following data: X y 3 1.6 4 3.6 5 4.4 Determine the coefficients, r²…

A: Given data: let us start using cubic polynomial    X Y 3 1.6 4 3.6 5 4.4 7 3.4 8 2.2…

Q: Identify the following for the polynomial function: i) iv) g(x)=x (3x+4) (-2x+1)(x-5) the degree the…

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Q: 5. (a) Evaluate the polynomial y = x³ - 8x² + 12x −0.45 at a = 2.378. Use 4-digit arithmetic with…

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

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Q: I need help

A: Consider the given polynomial function