Consider the generating function for the sequence of natural numbers: G(x) = x + 2x^2 + 3x^3 + 4x^4 +.... Find the generating function  G'(x) .

Q: - x + 1 If f(x) = find (fof) (x). X - 1

A: The composite function f∘fx is consist of two functions. Both functions are fx. We can also write…

Q: Find the local minima/maxima of -x + ln x if it exist

A: fx=-x+lnx Differentiating with respect to x, we get f'x=-1+1x Now to find critical values, solve the…

Q: 1) Given f(x)=2x + 1 and g (x)= x^2 +2x-1 , find (f- g)(x), then evaluate the sum when x=3 2)Given…

A: Given:1. fx=2x+1, gx=x2+2x-1f-gx when x=32.fx=x2, gx=1-xf-gx when x=23.fx=x+2, gx=x-1f-gx when…

Q: Consider the following. f(x) = 8x – 3, g(x) = 1 - x Find (f - g)(x). The difference of two…

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Q: x' (t) = -9 10 -7 (a) x(0) = - 12 -[-] x(t), 14 (b) x(x) = (c) x(-2x)= (a) x(t) = (Use parentheses…

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Q: f(x)=x-4 and g(x)=x^2 +1 . Determine if f is one to one and hence find f.g(4

A: we have been given two functions f(x)=x-4 and g(x)=x2+1   we have to determine if f is one to one so…

Q: x=[-5,-4,-3,-2,-1,0,1,2,3,4,5], A= [0.45    0.61    0.75    0.88    0.96   1    0.96    0.88    0.75…

A: Given: x=[-5,-4,-3,-2,-1,0,1,2,3,4,5], A= [0.45    0.61    0.75    0.88    0.96   1    0.96    0.88…

Q: Let f(x)=square root of x-4 Let g(x)=1/x-6 State the domain of (f/g)(x) in interval notation

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Q: let F(x)=f(f(x)) and G(x)=(F(x))^2  You also know that f(5)=10 , f(10)=3,  f prime of 10 = 4, f…

A: The objective of the question is to find the derivative of the functions F(x) and G(x) at x = 5. We…

Q: Find the domain and sketch the graph of the function.

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Q: f(x) = (x -5)' =(x-5)(x-5)(x-5) -5 x^2 -5x (x^2-10x+25)(x-5) -5 -5х 25 x^2 -10x 25 -5 3.

A: Factor problem....

Q: Explain what happens to the base function when and why when it went from  a(x)= x^2 to i(x) =…

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: g(x)=3x^5-2x^2+x+1 What is the deggree, leading coeffiecent, constant term, and end behavior?

A: To find the degree, leading co-efficient, constant term and behavior of the given function.Result…

Q: Consider the function f(x)=ln⁡(x2+3x−10) Find the domain of the function f(x) and enter your domain…

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Q: h(x) = 4/((x-1)^2) Show from the definition that the function h(x) = 4/((x-1)^2) is increasing in…

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Q: (1) Express j-3(x) in terms of Jo(x) and /+1(x)

A: Given:J-3x, J0x, and J1x. We have to express J-3x in terms of J0x, and J1x.

Q: find an integer n such that f(x)= 0 for some x between n and n+1. f(x) = x^3 - x + 3

A: Given:The function f(x) = x3−x+3.Known fact:Newton Rphson's method.It is an iterative process to…

Q: 7-Given P(x)=2x^3 +3x^2 +1 and Q(x)=8x-2, find all the possible values of so that Q(x)˂P(X )state…

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