Use a Lagrange interpolating polynomial of the first and second order to evaluate f(2) on the basis of the data: f(xo) = 0 f(x,) = 1.386294 f(x2) = 1.791760 Xo = 1 X, = 4 %3D X2 = 6

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

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Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

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Q: 8 Use definition L{f(t)} = - S% e- 0 -st f(t) dt to find L{3t}

A: From definition of Laplace integral  for function ,, Here

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: g(x) = v2 – 3x %3D

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Q: Find f"(x) for the function: f(x) = x – 1. -2(x– 1)-2 2(x – 1)2 O 2(x – 1)-3 -2(x– 1)

A: Derivative of a function

Q: Let P(t) = 100(1.025)' be the estimated population of wolves in a provincial park and S(t) = 200 +…

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Q: Four identical circles of radius r are inscribed (as shown) in a square of side x feet. (a) Express…

A: A detailed solution is given below.

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: Let f(x) = 1. x+ 8 |3D f-(- 8) %3D

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Q: Find the natural spline for the data: x0 = 0, x1 = 1, x2 = 2, and f(x0) = 1.2, f(x1) = 1.3, f(x2) =…

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