Simplify the following asymptotic expression: f(x) = (x – a² + O(2*))· (1+2æ + O(2³) 1+ 2æ + O(æ*))

Q: What is the infinite discontinuity of f(x) = (x^2-3x+2) / (x^2-x) ?

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Q: find f(x) so that f'(x)=-4e^(x)-6sinx

A: To find f(x) from f'(x) , we have to integrate f'(x) We first separate the integral

Q: Q3)Find the asymbtotes of the function f(x)= x-4

A: To find Aysmptotes of the given function

Q: 04) Find: V2 +7 - 4x a) Horizontal asymbtote for f(x)D x+3 x² - 4 f(x) a to for

A: Given: a) Horizontal asymptote for f(x)=x2+7 -4xx+3 b)Oblique asymtote for f(x)=x2-4x-1

Q: Q4, Find the domain of Hi function few =J2x+5-1 三J2×+3 -1

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Q: Use the equation (x-6)(x+7)/(x+3)(x+4)(x+7) for the following a) what does f(x) approach as x moves…

A: The Given equation is: f(x) = (x-6)(x+7)(x+3)(x+4)(x+7)

Q: 3 find f'(3). x2 If f(x) =

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Q: Suppose that f(x) = 9eª - exº. Find f'(3). f'(3) = |

A: The given function is  f(x) = 9ex - exe . Find f'(3).

Q: Q3)Find the asymbtotes of the function f(x)= x -4

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Q: For the function f(x)=x3−3x2−9x+4, determine the intervals where f is increasing and decreasing.…

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Q: find domain in interval notation f(x)=1/2x-6

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Q: find f-1 (x) for one-to-one function for f (x) = exsponent 5 of the quare root of  6x − 5 .

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Q: Determine all inflection points. 3 f(x) = 4x° - 12 , xER

A: Find all inflection points  fx =4x3-12 inflection point is point where f''(x) is equal to zero or…

Q: -pose f(x) = (x² – 9)2/3. Find the intervals rvals on which it is decreasing.

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: For f(x) = 7x2 - 7, find the number c in (-4, 4) guaranteed by Rolle's Theorem. (Use symbolic…

A: Rolle's theorem: If a function f is continuous on [a, b] and differentiable (a, b) such that f(a) =…

Q: Q3)Find the asymbtotes of the function f(x)= - x-4

A: We have to find both types of asymptotes.

Q: -1 Find f (x) for f (x) = 13 + 14x. Enter the exact answer.

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Q: f(x) = 0, X # 0, = 1, x = 0.

A: The function is,fx=0x≠01x=0

Q: Find f(7) if f(x) = 5x – 1.

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Q: find f'(x) and f''(x) for f(x) = 2x^2-3x-3/x+1 using the quotient rule and simplify. show all steps

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Q: If f(x)=7sinx+9cosx, then f'(x)=? then f'(2)=?

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: The function f(r) = x - 18x2 is increasing on the intervals

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Q: Give the domain for  r(x)=x+6/x^2+10x+24 in interval notation.

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Q: 49. Find (f)'(3) if f(x) = x³ + x + 1.

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Q: 1 For f(x) = what is the difference quotient? 2x- 1

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Q: Find f(x) such that f'(x) = 2x4-7x and f(2)=3

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Q: Solve f(9) for f(x) = 12 – x %3D f(9) = [?] Enter - 2021 Acellus Corporation. All Rights Reserved.

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Q: find f '(x) using the definition of the derivate if f(x)= (4)/2x+3

A: We are given the function,                        f(x)= (4)/2x+3. We need to find f '(x) using the…

Q: 48. If f(2) = 10 and f'(x) = x²f(x) for all x, find f"(2).

A: Given f'(x)=x2f(x)We know that (uv)'=uv'+vu'f''(x)=2x*f(x)+x2f(x)

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: For what values of x is the function f(x) = |x2 − 9| differentiable? (Enter your answer using…

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Q: 8. Use the functionf (x 3x2 – 4x and find the simplified difference f(x+h)-f(x) h quotient using the…

A: Given: f (x) = 3x2 – 4x.

Q: f^-1(x) for f(x)=5+12(x)

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Q: Find the domain and range of f(x) = 3(9x +7)2 – 7. Express your answer in interval notation using…

A: Given: The function is,

Q: (b) Determine the value for x such that P(-x < X < x) = 0.90.

A: Solution-: Given: a=-1, b=1 We find x such that,  P(-x&lt;X&lt;x)=0.90

Q: Find a symbolic representation for f-1(x) f(x)=6x3+3

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Q: For the function z) =-3x+8 determine x when Ax) =-25,

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Q: An approximation of f'(2.5) is: -0.52083 -0.09895 -0.14825 -0.14583

A: We will apply the continuity of f(x) at point x=2 to find the unknown value of a  Next we will take…

Q: -3x-11 for f (x) = 2 for x>5 Find f(-1)

A: The given function is  f(x) = -3x-11if x≤-52if x&gt;5

Q: 2. Evaluate f"(x) for f(x)=(3x²-7x+4)"

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Q: (42) For f(x) = -2r" + 5x° – 12x²5 + 10, the degree of f"(x) is

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Q: 1. When the function f(x) is divided by x + 2, the quotient is x2 -x -8 and the remainder is -3.…

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Q: Find f such that f'(x) = 8x² + 3x – 7 and f(0) = 2. f(x) =O

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Q: Find the inflection points of f(x)=2x^4+19x^3−15x^2+1 (Give your answers as a comma separated list,…

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Q: Give the domain for g(x)=x+4/x^2−9x+20 in interval notation.

A: Given: gx=x+4x2-9x+20 We know that for rational function denominator will not be equal to zero

Q: Find f(6) given f(x)=7x-5

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Q: Let f(x)= 4r-5 and o(r)=2-3r Find: f(-1). g(-1) =

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Q: find f(x) given that f'(x)= 4x3-12x2-18x+21 and f(2)=81

A: Given: -