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3 years ago

Jeremy listed five rational numbers

Mathematics

1 answer:

Viktor [21]3 years ago

7 0

Answer:

what do you want me to list 5 rational numbers?

Step-by-step explanation:

If so then:

5/1, 1/2, 1.75, -2/17, 9/-11

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I need help with this homogeneous equation

slamgirl [31]

Answer:

$ln [1 - (\frac{y}{x} )^{2} ] + ln x + c = 0$ . This is the solution.

Step-by-step explanation:

The homogeneous differential equation is given by

$\frac{dy}{dx} = \frac{x^{2} + y^{2} }{2xy}$

⇒ $\frac{dy}{dx} = \frac{1 + (\frac{y}{x} )^{2} }{2(\frac{y}{x} )}$ ........ (1)

Now to solve this differential equation we assume that y = vx where v is another variable.

So, differentiating with respect to x we get $\frac{dy}{dx} = v + x \frac{dv}{dx}$

Therefore, the above equation (1) becomes

$v + x \frac{dv}{dx} = \frac{1 + v^{2} }{2v}$ {Since $v = \frac{y}{x}$ }

⇒ $x\frac{dv}{dx} = \frac{1 + v^{2} - 2v^{2} }{2v}$

⇒ $x\frac{dv}{dx} = \frac{1 - v^{2}}{2v}$

⇒ $\frac{2v}{1 - v^{2} } dv = \frac{dx}{x}$ {By separation of variables}

Now, integrating both sides we get,

$\int {\frac{2v}{ 1- v^{2}}} \, dv = \int {\frac{dx}{x} } \, dx$

⇒ $- \int {\frac{d(1 - v^{2} )}{1 - v^{2}}} = \int {\frac{dx}{x} }$

⇒ $- ln (1 - v^{2}) = ln x + c$ {Where c is the integration constant}

⇒ $ln [1 - (\frac{y}{x} )^{2} ] + ln x + c = 0$ (Answer)

6 0

3 years ago

If the probability of an event is , 1/4 and there are 28 total outcomes, how many favorable outcomes are there?

Sav [38]

The correct answer would be: 7

To solve this you need to multiply 1/4 by 28.

1/4= .25

.25*28=7

Then you are left with your answer:

There are 7 favorable outcomes.

Hope this helps! :3

5 0

3 years ago

Largest common multiple for 2 and 3?

natulia [17]

Answer:

24 i think

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

True or False

Dennis_Churaev [7]

Answer:

true

Step-by-step explanation:

7 0

3 years ago

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Find the value of x. Show your work.

yarga [219]

Answer:

x = 11

Step-by-step explanation:

∠BCE + ∠ECF = 180°

∴(10x + 15)° + 5x° = 180°

(15x + 15)° = 180°

15x = 180° - 15°

15x = 165°

x = 165°/15°

x = 11°

4 0

4 years ago