Table 1 0.2 0.4 0.6 0.8 1.0 1.2 v(1) 25 38 55 73 88 102 The second order Lagrange interpolating polynomial for v(0.28) can be computed as v(0.28) = Lo(0.28)v(to)+L1(0.28)v(t1)+L2(0.28)v(t2) The correct value for L1(0.28) is Select one: A. 0.4800 B. 0.6400 O C. -0.2400 D. -6.1207

Q: Let P(x) be the Lagrange interpolating polynomial of S(x) = x³ – 3x + 3 at the points x, = 0; x, = 1…

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Q: The Lagrange polynomial passes through three data points (3, 11), (9, 10), (26, 21). Find p2(x) at x…

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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: Table: t 0.2 0.4 0.6 0.8 1.0 1.2 v(t) 25 38 55 The second order Lagranges interpolating polynomial…

A: Here to=0.2, t1=0.4 & t2=0.6L1t=t-tot-t2t1-tot1-t2

Q: Exercise no.4 1. Use Lagrange polynomial estimate f(2) for the given data. x -2 -1 0 4 f(x) -2 4 1 8…

A: Given problem is to estimate the value f(2) using Lagrange polynomial and find the best fit curve of…

Q: Consider the function f(x) = We approximate f (x) by the Lagrange interpolating polynomial P(x) at…

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Q: Consider the function f(x) = e³« – x . We approximate f(x) by the Lagrange interpolating polynomial…

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Q: Question (a) Use the numbers (called nodes) xo = 2, x1 = 2.75, and x2 = 4 to find the second…

A: Given: x0 = 2, x1 = 2.75,  x2 = 4,  f(x) = 1x To find: (a) Using the given numbers to find the…

Q: 1- Let pn (a) denote the degree n Newton's interpolation polynomial. What is p2 (4) for the data set…

A: Given data set for p2x is  x0,y0=0,0x1,y1=3,2x2,y2=5,-1

Q: Question 3 For the data given in the following table: 0.1 0.9 1.2 1.8 y 4.824 7.736 12.392 31.208…

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Q: a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find y if…

A: Note: Since you have posted multiple questions, according to our policy, we are only supposed to…

Q: tion 10 Jsing Newton's backward difference polynomial of degree 2, for the below data, approximation…

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Q: 4:33 O b M O P OX ll 38% A docs.google.com/forms/d/e 21 ]0,1[ ]2,3[ ) 1-1,0[ Let P(x) be the…

A: To find the f'(2) using Lagrange's interpolation given f(x)

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X0 1 4 6 -1 1 -1 1

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Q: E2: Using the following data, find the fourth degree interpolating polynomial using Newton's…

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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: 15) Use Lagrange interpolating polynomial to derive a two points forward formula to estimate f'(xx)…

A: To find :  15) a two points forward formula to estimate f'x0 using Lagrange interpolating polynomial…

Q: 7. The following data is given: 3.4 3 2.2 4.8 2 2.8 3.2 4 5 (a) Write the polynomial in Lagrange…

A: Lagrange Interpolation formula f(x)=(x - x1) . . . (x - xn)(x0 - x1) . . . (x0 - xn)f0+(x - x0) . .…

Q: 3. The Lagrange polynomial that passes through the 3 data points is given by x| 15 | 18 | 22 y 24 37…

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Q: QB.3 In a temperature measuring system, a signal x, representing the temperature to be measured, is…

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Q: 3. Given the following data: 0. 3. 4 6. f(x) 7 11 28 63 89 (a) Complete a Divided Difference Table…

A: Given data are x 0 2 3 4 6 f(x) 7 11 28 63 89 Newton divide difference table for the given…

Q: c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. 1 1 f(x) = a =…

A: Linear approximating polynomial means p1(x)=1-1(x-1) Given x=1.05

Q: xi=Q-debi-(m^3/sn) 2 yi=P•(kW)¤ 4x 6R 1.5 3 4.5 6 8 8 10

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Q: Q4) Consider the Lagrange coefficient polynomial L2x(x) that are used for quadratic interpolation at…

A: The Lagrange coefficient polynomials are given as,…

Q: 3 4 6. 0. f(x) 7 11 28 63 89 (a) Complete a Divided Difference Table for this data. (b) Construct a…

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Q: Q2: Use a Newton-Gregory polynomial (Forward & Backward) of degree 3 that fit table below, then find…

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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: Consider the function f(x) = We approximate f(x) by the Lagrange interpolating 2a+1 polynomial P,…

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Q: 4 - According to table 1 values which one is the approximation of f(1.7) (just degree 1, P1 (1.7))…

A: To find the approximation of f(1.7) we will use the formula of Lagrange's Interpolation. Then we put…

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: 2 - According to table 1 values which one is the approximation of f(1.7) (just degree 1, P1 (1.7))…

A: We can use the below formula to find the approximated value for x = 1.7.

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). 1 4 6. 1 -1 1 -1 I

A: We have to find the satisfying third degree polynomial.

Q: Q5) Consider the Table below. y, = f(x,) 0.5 25.5 1 1.2 8.75 2.5 12.5 3 3.2 5.25 Find cubic Newton…

A: Given,

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

A: (a) Given  n=3       Therefor,Lagrange's interpolation polynomial is given by…

Q: 2. The voltage drop V across a resistor for a number of different values of current i is shown in…

A: (1) Given i V Vi , Vj Vi , Vj , Vk 0.75 -0.6         0.7-(-0.6)1.25-0.75 = 2.6   1.25 0.7…

Q: 4. a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find y if…

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Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). 1 4 1 -1 1 -1 I

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Q: Question 1 f(x) = e²* – x,xo = 0, x1 = 1.25 and x2 = 1.6. %3! %3D a. Construct the interpolating…

A: (a) We can use Lagrange interpolating polynomial method to find P2(x) using given nodes.

Q: 12n+1) x Pa (x) : (n +1) Prte tx) +n Pane (x) a) Get the Le gendre reconnection polynomials using…

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

A: Given table

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

A: Here we use the newton’s divide difference formula and solve the given parts:   For the simplicity…

Q: Let P(x) = 3x² + x² + 2 be the Lagrange interpolating polynomial that approximates a function f over…

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Q: Q4 Table Q4 contains dataset of a robotic arm during a force measurement on a thigh phantom.…

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Q: a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find y if…

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Q: 1 2 5 7 8 f(x) 3 6 19 99 291 444 Calculate f(4) using Newton's interpolating polynomials of order 1…

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Q: Consider the interpolation data given below: x|1|1/2|3 y 3-10 2 The interpolating polynomial…

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Q: Let P(x) = 20x*-7x³ be the Lagrange interpolating polynomial that approximates a function f over the…

A: Given: The Lagrange interpolating polynomial is Px=20x4-7x3 is approximate the function f in the…

Q: Consider the function f(x): = 2x+1' We approximate f(x) by the Lagrange interpolating polynomial P₂…

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Q: Table 1 Temperature as a function of resistance. R (ohm) T (°C) 1101.0 11.3 911.3 20.131 636.0…

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