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Oliga [24]
3 years ago
5

Which comparison is true?

Mathematics
2 answers:
tiny-mole [99]3 years ago
7 0
Answer is b I just did it
scZoUnD [109]3 years ago
7 0

Answer:

A is true.

Step-by-step explanation:

-5% is less than 1 half.

Did i get it right?

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Consider the following.x = t − 2 sin(t), y = 1 − 2 cos(t), 0 ≤ t ≤ 8πSet up an integral that represents the length of the curve.
sweet [91]

The length of the parametric curve (call it <em>C </em>) is given by

\displaystyle\int_C\mathrm ds=\int_0^{8\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

We have

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y=1-2\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=2\sin t

Now,

\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2=5-4\cos t

so that the arc length integral reduces to

\displaystyle\int_0^{8\pi}\sqrt{5-4\cos t}\,\mathrm dt

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Step-by-step explanation:

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mrs_skeptik [129]
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