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3 years ago

Hey, can I get help with this question?:

Mathematics

2 answers:

iVinArrow [24]3 years ago

7 0

1x x 1x x1x is the answer

Juliette [100K]3 years ago

3 0

Multiply that number by its self 3 times
3x3x3=27

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Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation

Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

$\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\$

by differentiating the second equation we have

$\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}$

and we replace dx/dt in the first equation

$\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0$

and by using the characteristic polynomial

$m^{2}+4=0\\m=\±2i$

the solution is

$y(t)=Acos(2t)+Bsin(2t)$

and to compute x(t) we have

$\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)$

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

$x(0)=B=4\\y(0)=A=3$

I hope this is useful for you

regards

4 0

3 years ago

Read 2 more answers

Could you please help for this?<br> Please.

Serggg [28]

Answer:

CD = 6.385 units

Step-by-step explanation:

Given triangle ABC with right angle at C.

And AB = AD + 6 .

Now, consider the triangle ABC.

⇒ cos(∠BAC) = $\frac{AC}{AB}$ (cosФ = adj/hyp)

cos(20) = $\frac{AC}{AB}$ .

0.9397 = $\frac{AD+CD}{AD + 6}$

(since AB = AD + 6 and AC = AD + CD)

⇒ 0.9397 AD + 5.6382 = AD + CD

⇒ CD = 0.0603 AD + 5.6382. →→→→→ (1)

⇒ sin(∠BAC) = $\frac{BC}{AB}$ (sinФ = opp/hyp)

sin(20) = $\frac{BC}{AB}$ .

⇒ BC = AB sin(20) . →→→→→(2)

Now, consider the triangle BCD,

sin(∠BDC) = $\frac{BC}{CD}$

⇒ sin(80) = $\frac{BC}{CD}$

CD = $\frac{BC}{sin(80)}$

From (2), CD = $\frac{AB sin(20)}{sin(80)}$ .

⇒ CD = AB (0.3473)

⇒ CD = (AD + 6) (0.3473)

⇒ CD = 0.3473 AD + 2.0838 →→→→→→(3)

Now, (1) →→ CD = 0.0603 AD + 5.6382

(3) →→ CD = 0.3473 AD + 2.0838

⇒ 0.0603 AD + 5.6382 = 0.3473 AD + 2.0838

0.287 AD = 3.5544.

⇒ AD = 12.3847

⇒ From (1), CD = 0.0603(12.3847) + 5.6382

⇒ CD = 6.385 units

7 0

4 years ago

What is -5% as a decimal

devlian [24]

-0.5

Answer: -0.5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Covert 52m to kilometers. Explain how you got your answer

Mamont248 [21]

Answer:

0.052 kilometers

Step-by-step explanation:

There are .001 kilometers in 1 meter. So to convert meters to kilometers, multiply the number of meters by .001. 52x.001=.052

I hope you understand...have an awesome day!!! C:

4 0

4 years ago

Pls help me with this question.

Veseljchak [2.6K]

Answer:

the answer is 176 fluid ounces

6 0

3 years ago

Read 2 more answers