Derive a three-point formula of order O(h²) to approximate f'(ro) that uses f(xo-h), f(ro), f(xo + 2h) about numerical analysis

Q: f(x)=(x-2)^2,[2,infinity)   Find the inverse

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Q: find (f o g) (2): f(x) = x^2 + 1, g(x) =x -1

A: (f o g) (2) = f(g(2)) So we will find g(2) by plugging x=2 in g(x) g(x)=x-1 g(2)=2-1 g(2)=1

Q: Evaluate f''(c) at the point. f(x) = (x2 - 4)(x3- 2), c = 1

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Q: Let F(x)=x^2-13 and G(x)=18-x Find (F⋅G)(-1)=

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Q: 4. Find the inverse function of fx) = 25-x2,0Sx 5 1 а. 0sxS5 25-x2 b. x)x+5, - 5sx35 с. f(x)= x2-…

A: The given function is

Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: Evaluate the function when x = 1, 3 and 3 3 1) f(x) = x + 2x - 3

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Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: Let f(x) = 5x - 2 and g(x) = 2- x^2. Find the following. A) g(f(3)) B) f(g(x)) C) ff(x))

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Q: Consider the function F(x)= (x+2)^2 for the domain [-2, ∞)

A: Given           Function is :                            F(x)=(x+2)2 for the domain [-2, ∞)   To…

Q: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

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Q: Find (f-1)'(9) if f(x)=x3+x-1

A: To detemine the value of the derivative of the inverse function at the given point

Q: Find (f-1)' (a)   f(x)  = √( x3 + x2 + x +1 ) , a= 2

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Q: Prove that the function n = x(x^2 - 3y ^2)+ (x^2 - y^2) + 2xy is harmonic. Also find the conjugate…

A: Then,     and Thus,   and , it follows  that .Hence, the  given function is harmonic.(Proved)…

Q: Derive an 0(h¹) five-point formula to approximate f'(x) that uses f(x − h), f(x), ƒ (x + h), ƒ (x +…

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Q: 8 a) Differentiate the function Q(p) = -25√/p³ (e- VP - P b) Hence or otherwise, determine Q'(1).

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Q: Let f(z) =-3 a) Find f(x +h): | b) Find f(x + h) – f(1): /(z+h) /(x) С Find d) Find f'(r)

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Q: Help find a function f so that f ‘(x) = 3x2+ 2x+5 and f (1) = 10

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Q: f(x) = (3x² -2)5, find f '(x)

A: Here we have to differentiate the function.