Q.4: Find the third order Lagrange interpolation polynomial using the following table to compute f(9.2) from the following data; x f(x) 9 8 2.07944 2.19722 9.5 2.25129 11 2.39789

Q: Construct a divided-difference table for f(x) = cos(x) based on the five points (k; cos(k)), for k =…

A: To form the divided difference table, use the following formulae.…

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Q: f. Compute f(1.68) from the following data using Forward Newton-Gauss Interpolation Formula (FNGIF)…

A: To apply the Forward Newton-Gauss Interpolation formula, form the central difference table for the…

Q: 1. -1 0 1 2 f(Xx)| -4|-1 2 11 Table is given. a. Lagrange interpolation polynomial of degree 3. b.…

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Q: Q2: Consider the following table: x 0.800 1.000 1.200 1.400 f(x) 1.040 1.151 1.213 1.228 a. Estimate…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Q.5: For the given data; x f(x) 1 3 2 6 3 19 5 99 7 291 8 444 Calculate f(4) and f (2.5) using third…

A: Let the given data be x0,y0, x1,y1, ..., xn,yn. To obtain the n-th order Lagrange interpolating…

Q: A function y=f(x) is given by the following table. 12 84 21 343 4 Y 2.6 26 61 a) Explain and…

A: Given:  x 0 4 7 12 21 f(x) 2.6 26 61 84 343 Divided difference is an interpolation…

Q: 2.3. Given that $(0)=1₁ £ (1) = 3, f(3) = SS, find the unique Polynomial of degree 2, which fits the…

A: It is given that,  f(0) = 1,  f(1) = 3 and f(3) = 55. We have to find a polynomial of degree 2 which…

Q: Compute f(10.25) for a given set of data below using: 1. Lagrange Interpolating Polynomial 2.…

A: Solution : y=f(x) 1. Lagrange's Interpolation formula is,…

Q: Derive the third-order Newton’s interpolating polynomial for the following data:           xi 0…

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Q: Let f be defined by the graph to the right. Find VF(- 2.5) + f(1.9) – [(x))² + f(1) ÷ f(2) • f( – x)…

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Q: Construct the interpolating polynomial of degree four for the unequally spaced data by using, (a)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: P.1. Find the left-most root of the following function using Bisection method and False position…

A: Here, fx=xsin2x-ex+2

Q: Refer to the following functions: p(x)= x² + 2x - 15 x+1 q(x) = x-3 r(x) = √7-x Which of the…

A: ii only is the correct statement.

Q: A bullet is fired upward with its velocity against time given in the table below: Time t in seconds…

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Q: Given the table of xi and f(xi): 0.2 0.4 0.6 0.8 1.0 1.2 f(x) 0.203 0.423 0.684 1.03 1.557 2.572…

A: The forward difference is nothing but the difference of consecutive terms. The forward difference is…

Q: 2. Consider the following data values 1.5 2 2.5 3 f(x) 8 14 18 Find the value Of f(x) at x= 2.65…

A: Newton's divided difference interpolation formula is a interpolation technique used when the…

Q: for n = 235, we have s(235) = 2^2 + 3^2 + 5^2 = 38. determine whether the function s(n) is an…

A: A function or mapping from X→Y is said to be (a) Injective OR One-One:--A function is said to be…

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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

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Q: E Consider the function f(x) = [1,1]. Construct the interpolation polynomial which interpolates the…

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Q: 1. Using Newton's backward-differences, construct interpolating polynomials of degree one, two, and…

A: As you ask multiple questions and according to the rule I have to solve the first one only. Please…

Q: Compute f(10.25) for a given set of data below using: 1. Lagrange Interpolating Polynomial 2.…

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Q: 3. Given the following data: 0.1 0.2 0.3 0.4 f(x) -0.29004986 -0.56079734 -0.81401972 -0.10100000…

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Q: · Construct the Lagrange interpolation polynomial for the data 1 2 -1 f(x) 1 1 5 -1 Hence,…

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Q: Interpolate the following data to estimate the pressure at 1.5 minutes using 2nd order polynomial…

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

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A: Solution

Q: Determine the domain and range of the functions below. a. f(x, y) = |*/v4| for any real numbers x…

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

Q: Compute the divided-differece table for the tabulated function. Write down the Newton polynomial…

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Q: Q1. Given the data in the table below 1.6 2 2.5 14 3.2 4 4.5 f(x) 8 15 8 Calculate f(2.8) using…

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