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ohaa [14]
3 years ago
13

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
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