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Lena [83]
3 years ago
12

Find the domain of the function

Mathematics
1 answer:
aev [14]3 years ago
8 0
Domain are those values of x for which function is defined. f(x) is not defined at x = 3. Therefore Domain is

x∈ (⁻∞, +∞) - {3}
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Find the value of x.
Mrrafil [7]

Answer:

x=12

Step-by-step explanation:

6/3=x/6

36=3x

x=12

4 0
3 years ago
F(x)=(x-6)e^-3x find the interval in which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema
Over [174]
\bf f(x)=(x-6)e^{-3x}\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)]
\\\\\\
\cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}

set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there

there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
5 0
3 years ago
Evaluate the expression 2-8 × 2-7=
Nady [450]

Answer:

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Step-by-step explanation:

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= 2-16-7

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7 0
2 years ago
A school knows that 10% of its students are left-handed. What is the
Agata [3.3K]

Answer: c did on a p e x

Step-by-step explanation:

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2 years ago
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kumpel [21]

Answer:

264

Step-by-step explanation:

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8 0
2 years ago
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