Using the provided data, find the interpolated value of f(x) when x=6 using Newton's Divided Difference polynomial interpolation. 3 8 8 12 f(x) 5 Enter your answer using 2 significant digits after the decimal point. i.e. XX.xX If the value can't be computed, enter 'none' in the answer field.

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Q: Given a function ƒ (x). Suppose that, the Newton's interpolating polynomial P2(x) of f (x) at the…

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Q: B/ Given a polynomial function with following data points: Find x f(x) 0 3.6 1.5 1.8 3 1.2 4.5 0.9 6…

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Q: ****** x² x3 x4 +: 6 P4(x) = 1+ x + x +¬+ 2 24

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Q: Q-when fitting the data shown in the table with a second order polynomial Y=a+bx+cx? The value of a…

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Q: From the given data, identify f(4) using Newton's polynomial. (2,10), (3,15), (5,25), (8,40)

A: Explanation of the solution is given below....

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Q: From a function, f(x), we obtain the following data points: (ri, f(x₂)) = {(-0.5, e³/2), (0, 1),…

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Q: Use newton divided difference to solve the equivalent interpolation polynomial of the given below,…

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Q: 1. Use the data given below to estimate f(3) by X 1 4 f(x) 62 Constructing: a. Linear polynomial b.…

A: Please find attachment below

Q: Q/ Use Lagrangian polynomial to find f'(2.1) from the following table 1 2 3 f(x)| 10 17 22

A: Numbers of data point set is 3, so the degree of polynomial will be at most degree 2.

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Q: Fit a second order Newton's interpolating polynomial to estimate log 10 a) Interpolate using xo =…

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Q: For items from 10 to 14 Refer to this given polynomial function. y = 12x2 – 4x³ 10. What are the…

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Q: Xi -3 -1 0. -2 1 f(xi) 7.1 -4.3 -3 -2.6 -0.6 Given that the above data was extracted from the…

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Q: Q2: Construct the second order Lagrange interpolation polynomial for the function f (x) = In(x + 1)…

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Q: 1. Compute the divided-difference table for the tabulated function. 8 Xị 4 5 6 7 2.828 43 yi 2 2.236…

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Q: 2. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

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Q: 2. Construct a polynomial for the data given below, using Newton's divided difference formula. Find…

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Q: Approximate f(0.5) employing Lagrange interpolation polynomial with the nodes xo=0, x1=0.6, x2=0.9…

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Q: Given: x f(x) 07 2 10 4 13 6 16 8 19 a) Determine the value at x=5.3333 seconds with second order…

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Q: The following x-y data is given 10 13 15 y 50 | 113 | 165 The Newton's divided difference second…

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Q: Q// Fit a second-order polynomial to the :following data Y 7 11 7 5 2 10 4 7 2 11 11 3 y = 8.440138…

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Q: Q2: Construct the second order Lagrange interpolation polynomial for the function f (x) = In(x + 1)…

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A: Given, Table with high precision. To find: Value of y at x=3.5

Q: X f(x) 1.6 2 28 2.5 14 3.2 15

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Q: 3. The following data come from a table that was measured with high precision. Use the best…

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A: x fx fxi, xi+1 fxi, xi+1,xi+2 fxi, xi+1,xi+2, xi+3 fxi, xi+1,xi+2, xi+3, xi+4 1 3             3…

Q: 4x Let f(x) Compute the difference quotient for f(x) at x = 3 with h = 0.3. Round your answer to…

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