lim as x-->2 of:((1/x+1)-1/3)/((1/x+9)-1/11), i know you have to rationalize/factor the function but i keep getting stuck trying to find a common denominator to rationalize it, pls SOS.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: I did that, factored x^2 + x +6 and got x=-2 and x=3 so the vertical asymptotes should be 2 and -3,…

A: You have done the wrong factorization the factor of x^2 + x +6 is not -2,3 . When we factorize then…

Q: I have this function: f(x) = (x + 5)/(x^3 − 9x) I think I am told the domain is {+-3,0} But why does…

A: The domain that you are told is wrong, and definitely domain will also include -5, please take a…

Q: If I have 0=24x-5.19x^2, then I simplify it to 0=x(24-5.19x). How do I proceed to find x from here?

A: The given function is Here, either

Q: determine whether  the following numbers are roots of the polynomial equation P(x) = 0, P(x) =2x^3 -…

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Q: Calculate

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Q: Thre remainder when the function f(x)=x^3+4x^2-4x-16 is divided by x-2 is 0. Find all the other…

A: Given function is fx=x3+4x2-4x-16. It is given that when function fx=x3+4x2-4x-16 is divided by x-2…

Q: List all the possible rational rooots  for the polynomial F(X)=2x^2 -9x+3

A: By quadratic formula for roots of quadratic equation

Q: Find the end behavior asymptote of each of the following functions:  a) r(x)= (x^2 -4)/(2x^2 +7x+6)…

A: To determine the end behavior asymptote of the functions.

Q: f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the…

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Q: I am having trouble solving this problem. Can you please provide me with some help? Thank you. I…

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Q: for (x)=15x^4+10x^3-6x^2+14 show that (3) is equal to the remainder when you divide(x) by (x-3)

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Q: Suppose f(x) = Evaluate: Зх + 4 Write the answer in its exact form as an integer of a fraction in…

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Q: nd lim l Nx-3 and simplifu X-79

A: Given query is to find the limit of the expression.

Q: evaluate f(x)=-4x^4-4x^3-3x^2+1 to find f(-5), using synthetic division with table work. Thanks

A: Given query is to find the value of the function usinge synthetic division.

Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: Explain what happens to the base function, from #1 and #2 and why?  a(x) = x2 b(x)= -x^2

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

Q: USE THE LONG DIVISION AND DETERMINE IF TE DIVISOR IS A FACTOR: \(x)=(2x^(3) - 29x^(5) + 13)  /(x+4)

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Q: Which of the following is not a possible zero of f(x)=4x^5-2x^3+10? 3,5,5/2,3/2 , why?

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Q: Consider the following. f(x) = x^3 - 3/2x^2 - 23/2x + 6 = 1/2(2x^3 - 3x^2-23 x+12) Find the rational…

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Q: Find the Difference Quotient of the following function: f(x)= 4x^2+6. Please show the steps, I'm…

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Q: When differentiating functions, how do you get the answer to the square root of (1-x2)?

A: The given function is,

Q: A half-fraction 2^5-1 was chosen to be [X5]=[X1][X2][X3][X4] Set up a definition relation and use…

A: We construct half fraction of a 2(5-1) design X5 = [X1][X2][X3][X4]

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.