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3 years ago

The picture is above I’ll mark as brainliest.

Mathematics

1 answer:

lesya692 [45]3 years ago

3 0

Answer:

$32 {cm}^{2}$

Step-by-step explanation:

8×4=32

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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 :

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

7 0

3 years ago

On a map, 1 inch equals 20 miles. Two cities are 6 inches apart on the map. What is the actual distance between the cities?

Elodia [21]

Answer:

idk

Step-by-step explanation:

idk just responding

for points

7 0

3 years ago

Read 2 more answers

A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Is this an experimental or theoretical probability and why?

Lera25 [3.4K]

Answer:

theoretical probability

Step-by-step explanation:

This is theoretical probability. The 7 pieces of paper each bear one number from {1, 2, ... , 6, 7}. There is only one piece of paper marked 7. So the probability of drawing a 2 is 1/7.

4 0

3 years ago

A=2/3b,b=15,c=?<br><br><br>please help dear lord

SVETLANKA909090 [29]

Answer:

10.

Divide b into thirds, and then add together 2 of those thirds.

15/3 = 5

5x2 is 10.

Sorry if that doesn't make sense but it's how I do it in my head lol.

5 0

3 years ago

at a clothing store, levi's jeans are on sale for 40% off. sales tax is 7%. which expression will calculate the total cost of le

aleksandrvk [35]

Given:

Discount = 40%

Sales tax = 7%

To find:

The total cost of levi jeans with an original price of x.

Solution:

Let x be the original price of the jeans. Then the price after 40% discount is

$Price=x-40\%\text{ of }x$

$Price=x-\dfrac{40}{100}x$

$Price=x-0.4x$

$Price=0.6x$

The price after 7% of sales tax.

$Price=0.6x+7\%\text{ of }0.6x$

$Price=0.6x+\dfrac{7}{100}\times 0.6x$

$Price=0.6x+0.042x$

$Price=0.642x$

Therefore, the total cost of the levi jeans with an original price of x is represented by the expression 0.642x.

4 0

3 years ago