Compute f(0.25) from the following data using Backward Gregory – Newton Interpolation Formula (BGNIF at xo= -1 -1 0.5 0.55 0.6 0.65 0.7 f(x) -1 -1.375 -1.225625 -1.064 -0.880375 -0.677

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A: Given, a decreasing concave up function f(x) on the interval [2, 5] with   f(2)=10, f(5)=3, f'(2)=-4…

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A: (1) Given MGF is, MX(t)=13et+235 The given mgf is in the form of MX(t)=pet+qn, which is the mgf of…

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Q: 1. The values of f(x) over the interval 0Sx<0.5 with dx=0.05 are tabulated as shown f(x) f(x) 10…

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Q: (B) Verify the Mean Value Theorem for f(x) = ln(4x + 1) on | 0,

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Q: Use Newton Forward Formula to find y(0.05) from the data points : 0.2 0.4 0.6 0.8 y 1.2214 1.4918…

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Q: b) Is the Soluticn increasing or P N decreasia a when between o and te canyjug capacity

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Q: Q2. Use the Newton Backward interpolation formula to compute f (-0.92) from the following data. -2.0…

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A: Solution: From the given information, the moment generating function of Y is

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Q: Consider the following table of data: 0.4 0.6 0.8 1.0 f(x) 0.9798652 0.9177710 0.808038 0.6386093…

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Q: Use the following data and the Newton forward-difference formula to approximate f(0.05). x= 0.0,…

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Q: Consider the following equation defining the function f on the integers implicitly: f(n) = n+ f(n –…

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Q: Use Romberg Infegration to evaluate | f(x)dx with 4-digit accuracy. Start with ho = 1. 0.25 0.50…

A: The given table values: x 0 0.25 0.50 0.75 1 f(x) 1.0000 1.0262 1.0859 1.1540 1.2093 The…

Q: Suppose the following data points are generated by a smooth function f(x): -1 -0.75 -0.5 -0.25 0.25…

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Q: Determine '{F(s)} using the indicated technique. 1. F(s)= 4 2. F(s)= 3s (s–1) ' (s–3)* S .2 s² -8 8.…

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Q: 3. Use Simpson's rule to estimate f(x)dx from the following data -2.5 0.5 1.0 1.5 2.0 2.5 f(x)…

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Q: 1. Find the average value of the function f(x) = x³ + 3x + 5 on [0,2].

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Q: 4. Consider the following table of values of f(x) = e". 0.0 0.2 0.6 f (x) 1.0 1.22140 1.82212 (a)…

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Q: Consider the life table below: Age (z) 43 57500 44 57332 45 57114 46 56862 47 56481 ) Use Simpson's…

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Q: Suppose the following data points are generated by a smooth function f(x): 1/3 0.8105 Find the best…

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Q: Q 1 Estimate f (42) from the following data using Newton backward interpolation x: 20 25 30 35 40 45…

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Q: 1. Use the Gauss forward formula with xo = 2.0,h = 0.15, n = 7 to find an estimate for f(2.5) if %3D…

A: Given: fx=xlnx. x0=2.0, h=0.15, n=7.   We can solve this by using Gauss forward formula