2 years ago

What’s the radio is of the circle

Mathematics

1 answer:

n200080 [17]2 years ago

3 0

Do you mean what’s the radius?

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murzikaleks [220]

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2 years ago

(b) dy/dx = (x - y+ 1)^2

Elanso [62]

Substitute $v(x)=x-y(x)+1$ , so that

$\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}$

Then the resulting ODE in $v(x)$ is separable, with

$1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx$

On the left, we can split into partial fractions:

$\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx$

Integrating both sides gives

$\dfrac{\ln|1-v|+\ln|1+v|}2=x+C$

$\dfrac12\ln|1-v^2|=x+C$

$1-v^2=e^{2x+C}$

$v=\pm\sqrt{1-Ce^{2x}}$

Now solve for $y(x)$ :

$x-y+1=\pm\sqrt{1-Ce^{2x}}$

$\boxed{y=x+1\pm\sqrt{1-Ce^{2x}}}$

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3 years ago

I need help ASAP

Dima020 [189]

Answer:

Step-by-step explanation:

x/2+15=25

x/2=10

x=20

Please mark as Brainliest! :)

Have a nice day.

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2 years ago

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If a equals 10 feet, B equals 6B, C equals 1 foot, D equals 14 feet, and E equals 2 feet, what is the area of the object?

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Answer: 15, 17, 19

Step-by-step explanation:

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