Approximate f(0.5) employing Lagrange interpolation polynomial with the nodes Xo=0, X1=0.6, x2=0.9 for the function f(z) = e- 4x. O A. 0.35864 O B. -0.35208 OC.-0.35683 D. -0.35864

Q: Find the nth Maclaurin polynomial for the function. f(x) = e−x,    n = 5 P5(x) =

A: The Maclauring polynomial is given by,

Q: Q3) Find the Lagrange polynomial that fits the following set of four points and find the value of y…

A: Givenx0=-2, x1=3, x2=1, x3=7y0=5, y1=7, y2=11, y3=34

Q: Determine the smallest degree of the Madlaurin polynomial required for the error in the…

A:

Q: Write the Lagrange polynomial for the data X;0 2/3 | 1 Yi 1 0.5 | 0

A: Consider the data

Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) = %3D MastarIt

A: Given

Q: Use this interpolating polynomial for the data points f(x) 1 0-368 1-2 0-301 1-3 0-273 1.5 0-223 To…

A:

Q: - f (x) = e¬² at c= 0

A: Given f(x)=e-x at c=0

Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 %3D P5(x) =

A: Proceed as shown below...

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Q: 8. For the given function f(x) = v1+x, let ro = 0, x1 = 0.6, and r2 = 0.9. Construct an…

A:

Q: Find all the of the polynomial function f (x) = x°- x xo =D1.5 at 5th iteration using fixed-point…

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Q: 9) Find the cost of estimating f(x) using Lagrange interpolating polynomial p2 (x) for a specific…

A: To find: Cost of estimating fx¯ using Lagrange interpolating polynomial P2x for a point x¯. We shall…

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

A:

Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 P5(x) =

A: We have to find the McLaurin Series for the given function.

Q: Q4. Use Newton forward-difference formula and construct appropriate interpolating polynomial and…

A:

Q: According to the Table below calculate the function value at x = 2: a) by using Linear Interpolation…

A: The given table of values is

Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n=5

A:

Q: Determine the degree of the Maclaurin polynomial required for the error in the approximation of the…

A: Since f(x) is a real valued function and differentiable, then there exist z∈ℝ between 0 and x such…

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

A: First, find the values of y that correspond to x. For this substitute the values of x in f(x).  x…

Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n= 5 P5(x) =

A: Solve the following

Q: You are given the function f(x) = e9z. Calculate, to two decimal places, the coefficient of the term…

A: As per our guidelines we are supposed to answer only one question.

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

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Q: Q3. Using interpolation, approximate the following function by a polynomial of degree at most 3…

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Q: Use the fourth Maclaurin polynomial for f(x) = e" to estimate e0.5. Round your answer to four…

A: The Maclaurin series of ex is: ex=1+x+x22!+x33!+x44!+...

Q: 0.125 0.250 0.375 0.500 0.625 0.750 f(x) 0.79168 0.77334 0.74371 0.70413 0.65632 0.60228 1- Using…

A: Lagranges interpolation formula of order 3  with 6 points (x0,y0),(x1,y1),(x2,y2),(x3,y3),(x4,y4)and…

Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n= 5 Ps(x) = ||

A:

Q: Determine the degree of the Maclaurin polynomial required for the error in the approximation of the…

A: The given equation is f(x)=ex. Differentiating the given equation with respect to 'x' n-times, we…

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

A: To find- Construct the second order Lagrange interpolating polynomial for the function fx = lnx + 1…

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Q: 5) Find the velocity of rocket by using Gregory-Newton interpolation polynomial at t=260 sec. time…

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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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A: The order polynomial approximation of f(x) using Lagrange Interpolation is  .

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A: Using Maclaurin's series find the given function in the polynomial form upto power  4

Q: f(x) = e-, n = 5

A:

Q: Approximate the function at the given value of x, using the Maclaurin polynomial of degree n = 4.…

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Q: From the table find f(1) using interpolating of Lagrange polynomial -102 Y=f(x) 2 -1 5 1 O -1 O о о…

A:

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

A: Given table

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A: We know that nth order polynomial of Newton's interpolating polynomial is defined as below,…

Q: 6. For f(x) = 2x - x, construct the second Lagrange interpolating polynomial using the nodes xo = 1,…

A: Given as, f(x)=e2x -x x0 =1,x1 =1.25,x2 =1.6.

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Q: The Lagrange polynomial that passes through the 3 data is given by 15 18 22 y 24 37 25 2 (x) = 24L1…

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Q: Find the nth Maclaurin polynomial for the function f(x) = x /(x + 1), n = 4

A:

Q: Determine the degree of the Maclaurin polynomial required for the error in the approximation of the…

A: Given: fx=ex

Q: Determine the smallest degree of the Maclaurin polynomial required for the error in the…

A: