3 years ago

PLEASE HELP ASAP 35 PTS

Mathematics

1 answer:

salantis [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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The place value of 9 0.496

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A(n) _____ is any side of a polygon that shares a side with only one angle of a pair of angles.

erastovalidia [21]

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non-included

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A non included side of a polygon shares a side with only one angle of a pair of angles.

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Evaluate the line integral c y3 ds,<br> c.x = t3, y = t, 0 â‰¤ t â‰¤ 3

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$\displaystyle\int_{\mathcal C}y^3\,\mathrm dS=\int_{t=0}^{t=3}t^3\sqrt{1^2+(3t^2)^2}\,\mathrm dt=\int_0^3t^3\sqrt{1+9t^4}\,\mathrm dt$

Take $u=1+9t^4$ so that $\mathrm du=36t^3\,\mathrm dt$ . Then

$\displaystyle\int_{\mathcal C}y^3\,\mathrm dS=\frac1{36}\int_{u=1}^{u=730}\sqrt u\,\mathrm du=\frac{730^{3/2}-1}{54}$

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3 years ago