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3 years ago

Find the area of the shape?

Mathematics

1 answer:

Dominik [7]3 years ago

7 0

Answer:

12π ≈ 37.7

Step-by-step explanation:

A = π*r² - π*r²/4

A = 3πr²/4

r = 4

A = 3π(4)²/4

A = 12π ≈ 37.7

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Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

$\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C$

$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

7 0

3 years ago

The difference of two numbers is 192, the sum is 3782

LenaWriter [7]

(3782 - 192) : 2 = 1795 (first number)

1795 + 192 = 1987 ( second number)

--------------------------

1987 - 1795 = 192

1987 + 1795 = 3782

4 0

3 years ago

Pls help me, its not hard

natulia [17]

Answer:

1. y = -x + 3

2. y = x - 3

3. y = 3x + 1

4. y = -3x - 3

Step-by-step explanation:

Hello! sorry, I just saw your message on the question I answered before asking for help so here you go, these are the answers, hope this helps.

Pls mark me brainliest if you can:)

3 0

3 years ago

Please help giving brainliest:)

Galina-37 [17]

Answer:

10*(9-5)

Step-by-step explanation:

8 0

2 years ago

A fan is marked up 40% on the original price the original price was 20$ what is the new price of the fan before sales tax

Art [367]

Answer:

28 dollars is the new price.

Step-by-step explanation:

6 0

3 years ago