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3 years ago

Adiciona el término que hace falta para que sea un trinomio cuadrado perfecto x^2+3x+1

Mathematics

1 answer:

adell [148]3 years ago

3 0

Answer:

COSAS

Step-by-step explanation:

en realidad hablo inglés XD

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Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.

lakkis [162]

Answer:

$2*sin(x)+y*cos(x)-cos(y)=C_1$

Step-by-step explanation:

Let:

$P(x,y)=2*cos(x)-y*sin(x)$

$Q(x,y)=cos(x)+sin(y)$

This is an exact differential equation because:

$\frac{\partial P(x,y)}{\partial y} =-sin(x)$

$\frac{\partial Q(x,y)}{\partial x}=-sin(x)$

With this in mind let's define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x}=P(x,y)$

and

$\frac{\partial f(x,y)}{\partial y}=Q(x,y)$

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y)

$f(x,y)=\int\ 2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)$

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}$

Now, let's replace the previous result into $\frac{\partial f(x,y)}{\partial y}=Q(x,y)$ :

$cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)$

Solving for $\frac{dg(y)}{dy}$

$\frac{dg(y)}{dy}=sin(y)$

Integrating both sides with respect to y:

$g(y)=\int\ sin(y) \, dy =-cos(y)$

Replacing this result into f(x,y)

$f(x,y)=2*sin(x)+y*cos(x)-cos(y)$

Finally the solution is f(x,y)=C1 :

$2*sin(x)+y*cos(x)-cos(y)=C_1$

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3 years ago

The school band is having a car wash to raise money to purchase new uniforms if they charge $4 per car,how many cars must band m

LenKa [72]

Answer:52

Step-by-step explanation:208/4=52

8 0

3 years ago

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Make b the subject.

sp2606 [1]

First, square both sides. This will cancel out the radical.
$a^2 = b \add 6$
(a^2 = b + 6)
Then subtract 6 from both sides
b = a^2 - 6

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3 years ago

4h+7=4h-3 i think i have it but im not sure 100% so i need hlp

SSSSS [86.1K]

<u>4h + 7 = 4h - 3</u>

Subtract 4h from each side: 7 = -3

There is no value of ' h ' that can make this a true statement,
so the equation has no solution.

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3 years ago

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How many pounds are there in a kg

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1 lb = 0.45359237 kg

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3 years ago

Adiciona el término que hace falta para que sea un trinomio cuadrado perfecto x^2+3x+1​

Adiciona el término que hace falta para que sea un trinomio cuadrado perfecto x^2+3x+1