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tatiyna
2 years ago
14

How are you today? Take some time to reflect on your day! Have a great day!

Mathematics
2 answers:
PolarNik [594]2 years ago
6 0

Answer:

I am good!

Step-by-step explanation:

Have a fantastic day!

gregori [183]2 years ago
4 0

Answer:

good

Step-by-step explanation:

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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
Find the measure of angle 4<br> 689<br> 44<br> 68<br> 90<br> 136
Irina-Kira [14]

Answer:

90 degrees

Step-by-step explanation:

It is a right angle

7 0
2 years ago
Find the missing side lengths and it's converse​
Natalka [10]

Answer:

x  ≈ 10.7 ft.

Step-by-step explanation:

Given triangle in the picture is a right triangle.

By applying Pythagoras Theorem in this triangle.

(Hypotenuse)² = (Leg 1)² + (Leg2)²

(14)² = x² + 9²

x² = (14)² - 9²

x=\sqrt{196-81}

x=\sqrt{115}

x = 10.72

x  ≈ 10.7 ft.

8 0
2 years ago
Eric drove 248 miles in 4 hours. If he continues to travel at the speed, how far will he go in 7 hours and 30 minutes?
qaws [65]
248/4=62
62•7 1/2=465 miles

He will go 465 miles in 7 hours and 30 minutes
6 0
3 years ago
Read 2 more answers
Write the expression using exponents.<br> a·a·c·c
balandron [24]

Answer:

a^2*c^2

Step-by-step explanation: im pretty sure this is it

6 0
2 years ago
Read 2 more answers
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