Use Lagrange interpolating polynomial of third order to find the general polynomial equation and evaluate the unused motor oil at T (25 °C) and T (57 °C) based on the following data; T 0 20 40 60 80 f(x) 3.85 0.8 0.212 0.1 0

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Generate the expression describing the temperature behavior for X=6, by Lagrange polynomial. I have…

A: Given Information:Temperature at are provided as the data.To find:The behavior of the temperature…

Q: Q3/ Fit the following vapor pressure ys temperature data in fourth order polynomial. Then calculate…

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Q: Y=0 Y=2 Y=4 Y=6 Y=8 X=0 100 85 7055140 X=2 90 64.49 48.9 38.78 35 X=4 80 53.5 38.43 30.39 30 X=6 70…

A: The table shows the temperature corresponding to x = 6 for the variable y:…

Q: Q6) Fit a second order polynomial to the following data. Also estimate the value of y at x=1.25,…

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Q: Suppose if we use a linear Lagrange polynomial, differentiate and evaluate at x = x0 what formula…

A: Consider the general equation for the linear Lagrange polynomial function and two points.…

Q: Find the Maclaurin polynomial of degree two for the function /(x) = sec (9x). Select one: O a. O b.…

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Q: Using the provided data, find the interpolated value of f(x) when x = 3 using Newton's Divided…

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Q: Q.4: Use Lagrange interpolating polynomial of third order to find the general polynomial equation…

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Q: Y=0 Y=2 Y=4 Y=6 Y=8 X=0 100 85 70 55 40 X=2 90 64.49 48.9 38.78 35 X=4 80 53.5 38.43 30.39 30 X=6 70…

A: Bi-Linear Interpolation:The linear interpolation formula is the easiest method for figuring out the…

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: Show your work for each problem. For the data points (1,0), (2.0.693), (3.1.099), and (4,1.386): 1)…

A: Please upload the multiple parts separately.Here i answered 1st one i.e, (1) as per our policy.

Q: From the table below find the pressure of the steam at 152 derees C, using newton divided difference…

A: We have to find divided difference at x=152 by Newton's Divided Difference Formula.

Q: . to · if √o =0, √T = 1 and √4 = 2 estimate √3 Compare by constructing Lagrange polynomial, ther…

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Q: 2. if √o = √T = 1 and √4 = 2 estimate √3 to by constructing Lagrange polynomial, then compare with…

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Q: Using Newton's backward difference formula, construct an interpolat- ing polynomial of degree 3 for…

A: Newton's backward difference interpolation formula for four points can be defined…

Q: B. For the following experimental results x: 2 3 5 6. 7 y: -3 0 1 0 -2 Use Newton's divided…

A: The value of the table for x and y x 2 3 5 6 7 y -3 0 1 0 -2 Numerical divided differences…

Q: Use the Newton forward difference formula to construct interpolating polynomials of degree three for…

A: Given f-0.75=-0.0718, f-0.5=-0.0247, f-0.25=0.3349, f0=1.1010

Q: if √0 =0, √T = 1 and √4 = 2 estimate √3 Compare by constructing Lagrange polynomial, ther with the…

A: Let  f(x)=x We have x f(x)=x 0 0 1 1 4 2 we have x0=0, x1=1, x2=4 Lagrange's polynomial…

Q: Find the interpolating polynomial of the following point and function using Newton's interpolation…

A: Please check step 2 for the solution.

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: Given fx=-1x, a=1 Linear and quadratic approximation