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Murljashka [212]
3 years ago
6

A new computer system sells for approximately $2000 and depreciates at the rate of $500 per year.

Mathematics
1 answer:
lukranit [14]3 years ago
8 0

what are you asking

Step-by-step explanation:

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For what value of constant c is the function k(x) continuous at x = 0 if k =
nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x)  is continuous, we take the limit of the parameter as follows:

\mathbf{ \lim_{x \to 0^-} k(x) =  \lim_{x \to 0^+} k(x) =  0 }

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= c }

Provided that:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }

Using l'Hospital's rule:

\mathbf{\implies  \lim_{x \to 0} \ \  \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}=  \lim_{x \to 0}   sec \ x  \ tan \ x = 0}

Therefore:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}=0 }

Hence; c = 0

Learn more about the limit of a function x here:

brainly.com/question/8131777

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5 0
2 years ago
If B = {0, { 1,2} }, find all subsets of B.​
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Answer: If i'm correct i think the subsets of b are

={0},{1},{2},{0,1},{1,2} ,{2,0},{0,1,2},{phye}

Step-by-step explanation:

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Drupady [299]

Answer:

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Step-by-step explanation:

x^2-2x-26x+52

x(x-2)-26(x-2)

(x-2)(x-26)

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