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Anettt [7]
4 years ago
14

[50 POINTS]

Mathematics
2 answers:
Zina [86]4 years ago
5 0
A^2 + 2AB + B^2 = (A + B)^2 ==>

16X^2 + 40X + 25 = 
= (4X)^2 + 2*4*5X + 5^2 = 
= (4X + 5)^2 

<span>(4x + 5)(4x + 5)</span>
ExtremeBDS [4]4 years ago
3 0
<span>(4x + 5)(4x + 5) is your final answer.

Hope this helps.

</span>
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I'm not sure what you're asking.... but

18+18=36

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Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n
Darina [25.2K]

Recall that for |<em>x</em>| < 1, we have

\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n

Differentiating both sides gives

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4 0
3 years ago
The function F is defined by F(x)= 12/x + 1/2 . Use this formula to find the following values of the function.
IgorLugansk [536]

Answer:

F(3)=\frac{9}{2} \\F(-12)=\frac{-1}{2} \\F(\frac{1}{3} )=\frac{73}{2} \\F(\frac{3}{4} )=\frac{33}{2}

Step-by-step explanation:

Given: F(x)= \frac{12}{x}  + \frac{1}{2}

To find: Values of the function F(3) , F(−12) , F(\frac{1}{3}), F(\frac{3}{4})

Solution:

A function is a relation in which each and every element of the domain has a unique image in the co-domain.

To find the values of the functions F(3),F(-12),F(\frac{1}{3} ),F(\frac{3}{4} ), put x=3, -12, \frac{1}{3},\frac{3}{4} in the given function F(x)= \frac{12}{x}  + \frac{1}{2}

F(x)= \frac{12}{x}  + \frac{1}{2}\\F(3)= \frac{12}{3}  + \frac{1}{2}\\=4  + \frac{1}{2}\\=\frac{9}{2}

F(x)= \frac{12}{x}  + \frac{1}{2}\\F(-12)= \frac{12}{-12}  + \frac{1}{2}\\=-1+\frac{1}{2}\\ =\frac{-1}{2}

F(x)= \frac{12}{x}  + \frac{1}{2}\\\\F(\frac{1}{3} )= \frac{12}{\frac{1}{3}}  + \frac{1}{2}\\=36+\frac{1}{2}\\ =\frac{73}{2}

F(x)= \frac{12}{x}  + \frac{1}{2}\\\\\\F(\frac{3}{4} )= \frac{12}{\frac{3}{4}}  + \frac{1}{2}\\\\=16+\frac{1}{2}\\ \\=\frac{33}{2}

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Step-by-step explanation:

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