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: The function temperature c x minutes. W temperature c interval [0, 6]2 -8.93 (2) -0.11 Which stater…

A: Given: Nx=900.86x+69 To find the average rate of change over the interval 0,6.

Q: PROBLEM 1: Evaluate e-5 using e-* = 1-x+ + *****- and compare with the true value of 6.737947 x 10³.…

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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…

Q: only

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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: Using Newton's divided differences interpola- tion, find a third degree polynomial that satisfies…

A: In this question, we have to find the three-degree polynomial by using the newton divided difference…

Q: Thinking & Communication 12. a) Determine the finite difference of the following function. (T2) y 75…

A: Introduction: The approach of guessing values between known data points is known as polynomial…

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

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Q: How many zeroes does a polynomial function f(x) = -5+ 6x" have? A. 5 B. 6 C. 7 D. 8

A: Given the polynomial function is f(x) = -5 + 6x8

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: 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: ● Find the best fit equation for the second-degree polynomial of the form y = ao + a₁x + a₂x² given…

A: We need to fit the polynomial y=a0+a1x+a2x2 for the data x y 1 -9 3 3 4 16 5 29 7 70…

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: Find the equation of the curve that passes through the following points using the negative Factorial…

A: In the above ques- We have to find y at x = 8 Y (8) = ? We can easily see from table that x = 8 will…

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: 5. Find the best fit by a first degree polynomial for the following data: x -3 -1 0 2 y 8 5 4 1

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Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

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: Use differences to determine the polynomial function for the given data: f(x) 3 2 3 6 111 X -1 0 1 2…

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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: Define the following polynomials: x(t) = 2t³ +t+1 y(t) = 4t4 + 3t² +2 A. Multiply x(t) by y(t) and…

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Q: Test the following data table to see whether the data are quadratic. -3 |32| -2 -1 0 1 -1 -4 -5 -4…

A: