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Vladimir [108]
3 years ago
10

HELP PLEASE ASAP PLEASE HELP

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

b

Step-by-step explanation:

....

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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
3 years ago
the cost per minute of a conference phone call, originally $2.80, increased by 20%. What is the new price?
erica [24]
Y=2.80(1.20)^1
=$3.36
4 0
3 years ago
Read 2 more answers
PLZ HURRY IT'S URGENT!
Furkat [3]

Answer:

D. 12 units

Step-by-step explanation:

The distance between two points is found by

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

   sqrt( (4 -4)^2 + (-5-7)^2)

 sqrt((0^2 + (-12)^2)

 sqrt(0+144)

sqrt(144)

12

4 0
3 years ago
How can I use models to help me divide??
Ivan
You can use models to help you divide by making the number of models as your divisor. For example let's say I am dividing 8 ÷ 2. So you would make 8 circles (doesn't have to be circle it can be whatever like squares) and then make groups of 2 until you run out of circles. Then how many groups there are is your answer. 8÷2=4. Hope I helped!
4 0
3 years ago
A cereal comes in three different package size what is the ratio of the cost of an 8 ounce box to a 16 ounce box of cereal
34kurt

Answer:

5-3 or 3-5

Step-by-step explanation:

8 0
3 years ago
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