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Hitman42 [59]
3 years ago
14

Simplify by combining like terms: 3x + 3x + 3x

Mathematics
2 answers:
Leto [7]3 years ago
6 0
The answer is 9x. I hope I was a helpful hand for you. 
9966 [12]3 years ago
5 0
The answer is 9x when you combine like terms
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What is 11,339,800 to the nearest whole number
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Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (tan(x) −
never [62]

Answer:

f(x,y)=ln secx+cosx siny+C

Step-by-step explanation:

We are given that DE

(tanx-sinx siny)dx+cosxcosydy=0

We have to determine given DE is exact or not.

Compare it with Mdx+Ndy=0

M=tanx-sinx siny

N=cosxcosy

\frac{\partial M}{\partial y}=M_y=-sinxcosy

\frac{\partial N}{\partial x}=N_x=-sinxcosy

Therefore, M_y=N_x

If DE is exact then M_y=N_x

Hence,it is exact.

M=\frac{\partial f}{\partial x}=tanx-sinxsiny

Integrate w.r.t x on both sides

f(x,y)=\int(tanx-sinxsiny)dx

f(x,y)=lnsecx+cosxsiny+\phi(y)...(1)

By using the formula

\int tanxdx=lnsecx+C,\int sinxdx=-cosx+C

Differentiate partially  equation (1) w.r.t y

\frac{\partial f}{\partial y}=cosxcosy+\phi'(y)

By using the formula:

\frac{d(sinx)}{dx}=cosx

N=\frac{\partial f}{\partial y}=cosxcosy=cosxcosy+\phi'(y)

\phi'(y)=cosxcosy-cosxcosy=0

\phi'(y)=0

Integrate  w.r.t y

\phi(y)=C

Substitute the value

f(x,y)=ln secx+cosx siny+C

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Addition of a hydronium ion increases its concentration and the solution becomes more acidic, Therefore the pH decreases.

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