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Katyanochek1 [597]

3 years ago

5

Simplify the expressions 2(x+1)-(2x-4)

1 answer:

kicyunya [14]3 years ago

8 0

The answer is (x+1)-(2x-4)=6

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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

Someone help please!

saveliy_v [14]

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

$\frac{AB}{sinC}$ = $\frac{BC}{sinA}$

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

$\frac{7.8}{sin28}$ = $\frac{BC}{sin62}$ ( cross- multiply )

BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )

BC = $\frac{7.8sin62}{sin28}$ ≈ 14.7 m ( to 3 significant figures )

5 0

3 years ago

!!HELP ME PLEASE!!

gulaghasi [49]

Answer:

answers

Step-by-step explanation:

A. Vertex at (−6, 1)

6 0

3 years ago

Please answer this question now

vichka [17]

Answer:

320 sq in

Step-by-step explanation:

4(1/2*8*16) + (8*8)

= 4(64) + (64)

= 5(64)

= 320

6 0

2 years ago

2m² + 10 for m = -6<br><br><br> Help please

lbvjy [14]

Answer:

82

Step-by-step explanation:

2×m²+10

m²= -6×-6=36

36×2=72+10=82

7 0

2 years ago

Read 2 more answers