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2 years ago

Factorizar o descomponer en de FACTORES

Mathematics

1 answer:

Charra [1.4K]2 years ago

5 0

Not sure if you’re speaking Spanish or not but yes

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Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

5 0

3 years ago

Mouthwash costs $5.00 before tax and $5.30 after tax. what is the percentage of the tax

irinina [24]

6%(5) = .30 6%

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3 0

3 years ago

Read 2 more answers

Who can help me with this

Jlenok [28]

The answer would be A.

3 0

3 years ago

I don’t know how to make a rule:(

Yuri [45]

Answer:

*assuming you know the concept of proportionality*

since L is directly proportional to T, an increase in L will result in an increase in T

so the solution of the first part is increases

in part 2, y is inversely proportional to x

which means that an increase in y will result in a decrease in x and vice-versa

So the answer of the second part is decreases

in part 3, since x is directly proportional to y, an increase in x will result in an increase in y

8 0

3 years ago

ROTATIONS ; GEOMETRY. PLEASE HELP AND INCLUDE AN EXPLANATION IF POSSIBLE

Troyanec [42]

Rotation 90° translates (x, y) to (-y, x). Thus (3, 2) gets translated to (-2, 3). Your green box gets filled with -2.

3 0

3 years ago