2 years ago

Can I have help please

Mathematics

1 answer:

Mice21 [21]2 years ago

6 0

the graph is incorrect, he shouldve shaded to the right, hope this helps

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

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2 years ago

20 is 40% of what number

pantera1 [17]

it depends what the number is

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2 years ago

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What does the series represent to the bike owner answer all plz :)

zlopas [31]

Answer:

lol or i could just answer it on here

Step-by-step explanation:

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2 years ago

remy said the table shows a proportional relationship because each distanc went up by 6ftg. Collin said that it was not a propor

sdas [7]

Answer:

remy would be correct

Step-by-step explanation:

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2 years ago

4km in9hr, then 24 km in

Morgarella [4.7K]

If you ran 4km in 9 hours.
Then you'll run 24 km's in.

4km per 9 hours
8km per 18 hours.
12km per 26 hours.
16km per 34 hours.
20km per 40.
24km per 46.

5 0

3 years ago

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