All categories

2 years ago

Subtract 7xy (x² - 2xy + 3y²) -8x (x²y - 4xy + 7x y2) from3y(4x²y-5xy +8xy²)

Mathematics

1 answer:

olganol [36]2 years ago

5 0

Answer:

im not sure but

Step-by-step explanation:

You might be interested in

I can’t figure this out

Reil [10]

Answer: 2.2= 11/5 or 1 1/5

3 0

2 years ago

Please I will give so much

kompoz [17]

I think it’s the first one and the fourth one.

8 0

3 years ago

Find the equation of the line

kotegsom [21]

Of the line of what?

7 0

3 years ago

Read 2 more answers

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 :

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

7 0

3 years ago

Jack is 35 years younger than Karen. Frank is half of Jack's age. Jenifer is 17 years older than Frank. If Jennifer is 35 years

barxatty [35]

Answer:

Karen is 71 years old

Step-by-step explanation:

Known

Karen=Jack +35

Frank=1/2 Jack

Jenifer=Frank+17

If Jenifer=35

35=Frank+17

18 = Frank

18=1/2 Jack

36= Jack

Karen= Jack+35=36+35=71

4 0

2 years ago

Subtract 7xy (x² - 2xy + 3y²) -8x (x²y - 4xy + 7x y2) from3y(4x²y-5xy +8xy²)​

Subtract 7xy (x² - 2xy + 3y²) -8x (x²y - 4xy + 7x y2) from3y(4x²y-5xy +8xy²)