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NNADVOKAT [17]
3 years ago
13

The graph of g(x)=f(3×) is the graph of y =f(x)

Mathematics
1 answer:
Andrej [43]3 years ago
5 0

Answer:

thats not a question, that is a statement

Step-by-step explanation:


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Answer:

Option D, 24

Step-by-step explanation:

<u>Step 1:  Determine the rate of change or slope</u>

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Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

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2 years ago
What is a differential equation
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A differential equation is one that contains the derivative of a function.  For example f(x) + 3 = 4f'(x) - 2.  Usually you will be given one of the functions and initial conditions if you have to solve.
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Step-by-step explanation:

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