Find the approximate value using the Lakrange method for inclusion of (3) f, using the following data: X = 0 1 2 4 F(x)=1 1 25

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

A: f(x) = 1/(1-x) f'(x) =  1/(1-x)² f''(x) = 2/(1-x)³ a = 0 so  f(0) = 1/(1-0)=1 f'(0) =  1/(1-0)²=1…

Q: A3 Find the half-range Fourier cosine series expansion for the function f(x) = x(Lx), for 0 < x < L.…

A:

Q: Q1. Find the Lagrange interpolation polynomial for the function y = f(x),and find the value of…

A: Introduction: Polynomial interpolation is the interpolation of a given records set via way of means…

Q: c) f (x) = v9 – 3x

A: See the solution below.

Q: Compute R5 and L5 over [0, 1] using the following values:

A:

Q: DETERMINE THE VALUE OF F(5) FOR A GIVEN SET OF DATA BELOW USING THE STATED METHOD OF INTEPROLATION:…

A:

Q: Complete the divided difference table for the data Xo = 1.0, x₁ = 1.2, x₂ = 1.4, x3 = 1.6, x4 = 1.8,…

A: Given:The given data is .The function is given by .To Find:We have to complete the divided…

Q: t f(x) be a function tabulated over 4 points, as shown in the table below. Using a degree 3 Newton…

A: Introduction: Extrapolation is the process of computing the value of a function outside the given…

Q: determine the coefficient of determination,

A: The provided information is x y xy x2 y2 3 1.6 4.8 9 2.56 4 3.6 14.4 16 12.96 5 4.4 22 25…

Q: 1. Using the points xo = 1 , x1 = 1.6, and x2 = 2.5, find the Lagrange interpolating polynomial that…

A: We find the Lagrange interpreting polynomial using the given points and that fits the function 2/x2.

Q: calculate f(4.0) using: x      0.50 1.50 2.50 3.57 4.50 f (x)  1.041 1.141 1.391 2.991 8.341 a)…

A: Hello. Since your question has multiple parts, we will solve the first  parts for you. If you want…

Q: F(x) F(2) (5) F(7) - L² (t³ + 6 t F(x)= (t³ + 6t-5) dt

A:

Q: Find the F.T of the following; f(t) = e-jwot %3D

A: Given: f(t)=e-jw0t we can write  f(t)=e-jw0t.1 By using property y(t).e-jw0t→F.T2πδw+w0

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

A: a. f(x) = 1/x             = 1/{(x - 1) + 1}    about a = 1             = {1 + (x - 1)}-1…

Q: (x) - provided

A: To fill the given blanks.

Q: Answer the following: (1) Discuss the differentiability and analyticity of the function f(2) = 3x²y²…

A:

Q: Calculate R3 and L3 for f (x) = x2 − x + 4 over [1, 4]. Then sketch the graph of f and the…

A:

Q: 2Q. (b) The set of following data points is given x 1 1.5 2 5.2 y 3.8 4.9 Determine the second order…

A:

Q: Time, t (sec) 10 15 22.5 30 Velocity, v(m/s) 227.04 362.78 517.35 602.97 901.67 (a) Determine the…

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

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: is not ansered

A:

Q: Calculate M6 for f(x) = V6x over [2, 5]. (Use decimal notation. Give your answer to two decimal…

A: If the interval [2, 5] is divided into 6 intervals, then each interval has length: ∆x=5-26=36=0.5

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