Q 1 Estimate f (42) from the following data using Newton backward interpolation x: 20 25 30 35 40 45 f(x): 354 332 291 260 231 204

Q: 1 2.if [(fT))=, find [ f(4t) S

A: Laplace transform of the function

Q: Determine the value of f(22) for a given set of data below using Newton's Divided Difference F(X) 2…

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Q: Consider the following table of data associated with the function i Xi 0 1.0 f(x)=ln(x). Use…

A: We need to approximate the value of f(3.2) using the first and second order Newton's polynomials for…

Q: State if the following statement is TRUE/FALSE and justify your answer. If f(x) = 2 if a0 then…

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Q: ne current flowving is as shown:

A: Given,  the relationship between the voltage applied to an electrical circuit and the current…

Q: The position of a particle s(t) (in meters) is shown to the right as a function of t (in seconds).…

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Q: If f is a function and not necessarily a position function, then we can interpret AVa,a+h] as the…

A: This is a problem related to average and instantaneous rate of change of the function. Based on the…

Q: From the data in the following table can we compute f(x) at x = 2 applying Newton's…

A: Newton's Divided difference formula is f(x) = y0+(x-x0)δ(x0,x1) + (x-x0)(x-x1)δ(x0,x1,x2)+...+…

Q: The table below contains data for a linear function: 7.4 7.6 7.8 f(t) 749.8 764.6 779.4 794.2 7.2…

A: Given: Equation of linear function has the form of f(t) = mt+c   ----->eqn (i)

Q: x y 0 1750.00 1 1942.50 2 2156.18 3 2393.36 4 2656.63 5 2948.86 a) Find the y-value for the data if…

A: Let  y=ax+b  …………………………(1) Where a,b are arbitrary constant. Lets find it. Taking summation both in…

Q: The pressure of wind in pounds per square foot, corresponding to the velocity in miles per hour has…

A: Solution:

Q: 3. Use Neville's method to approximate f(3.6) given the followin 3.3 3.4 3.5 3.7 f(x) | 2.68 2.98…

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Q: 3. Given the data 01 6 f(z)|19|23|93 259 construct the divided-difference table, and compute an…

A: NETWON DIVIDE DIFFERENCE TABLE IS GIVEN AS-:

Q: Consider the data table: x 0.1 0.3 0.5 0.7 0.9 1.1 f(x) 1.105 1.349 1.648 2.013 2.459 3.004 The…

A: Mathematical methods used to solve equations or evaluate integrals or solve differential equations…

Q: 3 Use the linear approximation to estimate Af = f(3.1) – f(3) for f(x) = I+x (Use decimal notation.…

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Q: estimate the function f(x) for the given data below x: 0 1 2 3 4 y: 6.5 3.5 -1.5 -2.5 6.5 31.5 5 6 7…

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Q: Q4/Use Backward Newton- Gauss interpolation formula to find f(16) from the following data (carry out…

A: The interpolation techniques are used to establish the relationship between any two arbitrary…

Q: 4. y = V6 – 7x

A: Definition used -                         Power rule of derivative -…

Q: 1. function. Form a difference table from the following data and deduce that f(x) is a quadratic Use…

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Q: In the following function, let U and R be a variable and V be a constant. Find R'(U). v²R U = - R+V

A: Given: U=V2RR+V Now,            U=V2RR+V⇒UR+V=RV2⇒RU-V2=-VU⇒R=-VUU-V2;   U-V2≠ 0

Q: X Xo X1 X2 X 9 9.5 10 f(x) 2.197 2.251 2.303 H.W: For the following table find f(9.2) using Lagrange…

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

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