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Amiraneli [1.4K]
3 years ago
15

The domain (or pre-image) of a function is: (-2, 6), (-1, 5), (0, -6). If it is translated up 2 units and left 3 units , what is

the range (or image)?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer:

(0,3) (1, 2) (2,-9)

Step-by-step explanation:

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Use a change of variables to find the indefinite integral xe^(x^2) dx
ValentinkaMS [17]
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If we take y=x^2, then \mathrm dy=2x\,\mathrm dx, and we can write the above integral as


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A police cruiser is traveling at 20.0 m/s when the officer spies a speeder. The cruiser accelerates at 3.0 m/s^2 for 5.0 seconds
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For the first 5.0 seconds, the cruiser covers a distance of

\left(20.0\dfrac{\rm m}{\rm s}\right)(5.0\,\mathrm s)+\dfrac12\left(3.0\dfrac{\rm m}{\mathrm s^2}\right)(5.0\,\mathrm s)^2=137.5\,\mathrm m

At this point, the cruiser will have achieved a velocity of

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The cruiser will take

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to come to a stop as it decelerates. It will have covered a total distance of

(137.5\,\mathrm m)+\left(35\dfrac{\rm m}{\rm s}\right)(7.0\,\mathrm s)+\dfrac12\left(-5.0\dfrac{\rm m}{\mathrm s^2}\right)(7.0\,\mathrm s)^2=\boxed{260\,\mathrm m}

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Step-by-step explanation:

5 0
3 years ago
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