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2 years ago

Luis is proving that the sum of the

Mathematics

1 answer:

poizon [28]2 years ago

6 0

Answer:

Step-by-step explanation:

4. m < 1 + m < 4 + m < 5 = 180

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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

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

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

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

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

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

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

4 0

2 years ago

I will give brainliest to the first person who answers.

nasty-shy [4]

Answer:

the answer is $\sqrt{5\\}$ , and - $\sqrt{5\\}$ which is C.

Step-by-step explanation:

well I got that answer by doing this

we have $x^{2}$ = 5

For $x^{2}$ = f (a) the solutions are x = $\sqrt{f(a)\\}$ , - $\sqrt{f(a)\\}$

so in this case the solutions are $\sqrt{5\\}$ , and - $\sqrt{5\\}$

HOPE THIS HELPS :)

3 0

3 years ago

Tyler's earns a commission. He makes 4% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commiss

xxMikexx [17]

He earned $325 because 900 divided by 4% = $225! :)

7 0

2 years ago

Costco is offering to perform the floor

const2013 [10]

Answer:

3.50x= t

Step-by-step explanation:

x square feet of teh floor

t= total cost

3 0

2 years ago

Which expression is equivalent to 4x + ? o 1(-x+2) o 1(-2+ 3) -1(-x+ ) - (x + 2)

slavikrds [6]

Answer:

Definitely Option A.

When you expand the bracket of Option A... You have your equation

Which is

-1/4x + 1/2.

7 0

3 years ago