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3 years ago

Do you guys watch 7 deadly sins i love it

Mathematics

1 answer:

Vika [28.1K]3 years ago

5 0

No I haven’t but I will put it in my recommendations :)

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Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

4 years ago

What is the answer of the rectangular prism?<br> 3 1/3 times 1 2/5

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

3 1\3 = 1

1 2\5 = 2/5 ..........................

6 0

4 years ago

12.8 x 3/4 I don’t know it

scoray [572]

48/5 or 9 3/5

12.8/1 x 3/4 = 38.4/4

Or multiply 12.8/1 by 10 ==> 128/10

128/10 x 3/4 = 384/40

Hope this helps!

7 0

3 years ago

Read 2 more answers

PLEASE HELP. WILL GIVE BRAINLIEST!!!!!!!!!

Alex777 [14]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help me ,anyonecplease

Yakvenalex [24]

Hello,

94=A*e^(k*0)==>A=94
99=94*e^(k*6)==>k=(ln(99/94))/6≈0.0086375...
==>94*e^(k*12)=104.2659574...≈104 (millions)

8 0

4 years ago