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Vinil7 [7]
2 years ago
14

WHAT IS 300 DIVIDED BY 200

Mathematics
2 answers:
DerKrebs [107]2 years ago
8 0

Answer:

3/2 or 1.5

Step-by-step explanation:

pychu [463]2 years ago
3 0

Answer:

3/2 = 1.5

Step-by-step explanation:

\frac{300}{200}

Divide 100 top and bottom

\frac{3}{2}

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Solution for dy/dx+xsin 2 y=x^3 cos^2y
vichka [17]
Rearrange the ODE as

\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y=x^3\cos^2y
\sec^2y\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y\sec^2y=x^3

Take u=\tan y, so that \dfrac{\mathrm du}{\mathrm dx}=\sec^2y\dfrac{\mathrm dy}{\mathrm dx}.

Supposing that |y|, we have \tan^{-1}u=y, from which it follows that

\sin2y=2\sin y\cos y=2\dfrac u{\sqrt{u^2+1}}\dfrac1{\sqrt{u^2+1}}=\dfrac{2u}{u^2+1}
\sec^2y=1+\tan^2y=1+u^2

So we can write the ODE as

\dfrac{\mathrm du}{\mathrm dx}+2xu=x^3

which is linear in u. Multiplying both sides by e^{x^2}, we have

e^{x^2}\dfrac{\mathrm du}{\mathrm dx}+2xe^{x^2}u=x^3e^{x^2}
\dfrac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]=x^3e^{x^2}

Integrate both sides with respect to x:

\displaystyle\int\frac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]\,\mathrm dx=\int x^3e^{x^2}\,\mathrm dx
e^{x^2}u=\displaystyle\int x^3e^{x^2}\,\mathrm dx

Substitute t=x^2, so that \mathrm dt=2x\,\mathrm dx. Then

\displaystyle\int x^3e^{x^2}\,\mathrm dx=\frac12\int 2xx^2e^{x^2}\,\mathrm dx=\frac12\int te^t\,\mathrm dt

Integrate the right hand side by parts using

f=t\implies\mathrm df=\mathrm dt
\mathrm dg=e^t\,\mathrm dt\implies g=e^t
\displaystyle\frac12\int te^t\,\mathrm dt=\frac12\left(te^t-\int e^t\,\mathrm dt\right)

You should end up with

e^{x^2}u=\dfrac12e^{x^2}(x^2-1)+C
u=\dfrac{x^2-1}2+Ce^{-x^2}
\tan y=\dfrac{x^2-1}2+Ce^{-x^2}

and provided that we restrict |y|, we can write

y=\tan^{-1}\left(\dfrac{x^2-1}2+Ce^{-x^2}\right)
5 0
3 years ago
30% × 750 =<br> (30 ÷ 100) × 750 =<br> (30 × 750) ÷ 100 =<br> 22,500 ÷ 100 =<br> 225;
Deffense [45]

Answer:

SOLVE IT UR SELF OR GET A CALCULATOR

Step-by-step explanation:

*urinates on ur property*

ANSWER : 225, 225, 225, 225, 225

7 0
3 years ago
Read 2 more answers
Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74^{\circ}
MissTica

Answer:

8.27 ft.

Step-by-step explanation:

Using trigonometry of a right angled triangle:

cos 74 = x / 30        where x is the required distance

x = 30 cos 74

= 8.269 ft

3 0
2 years ago
Find the percent of change the original cost was 50. And the new cost is 60
Ivan

Answer:

20%

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is each number in scientific notaion
ruslelena [56]

For the first one it is 5 x10^{8}  

and for the second one it is 0.0005 = 5 × 0.0001 = 5 × 10−4

6 0
3 years ago
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