2 years ago

Someone help me please:)

Mathematics

1 answer:

IRISSAK [1]2 years ago

6 0

Im not that good with these types of problems but i think it is b if my math is correct.

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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

$x=t-2\sin t\implies\dfrac{\mathrm dx}{\mathrm dt}=1-2\cos t$

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

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

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

which has an approximate value of 53.4596.

8 0

2 years ago

Plz help I can't figure it out

Snowcat [4.5K]

Answer:

to be honest I dont even know the answer

3 0

3 years ago

Please help me !??!!!

iris [78.8K]

Answer:

X =0

Step-by-step explanation:

divide each term by 15 and simp

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2 years ago

EASY 5POINT MATH QUESTION PLEASE SOLVE

nika2105 [10]

The equation x = 180 - (31 + 40) can be used. Because the angles are in a straight line ad straight line equals 180 degrees

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3 years ago

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What’s the awnser to this question.

Elodia [21]

Answer:

(g ￮ f )(x)

Step-by-step explanation:

(g ￮ f )(x) means substitute f(x) into g(x) , that is

g( $\frac{1}{x-2}$ )

= $\frac{1}{x-2}$ + 5

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2 years ago