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3 years ago

8

What is 4(p+8) equals -4p?

1 answer:

kati45 [8]3 years ago

6 0

4(p + 8) = -4p ... assuming you need to solve for p, the first step is to distribute the 4 to the inside of your parentheses

4p + 32 = -4p ... subtract 4p
32 = -8p ... divide by -8
p = -4 is your answer.

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Answer:

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Step-by-step explanation:

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Integration on both sides gives

$\int \frac{dA}{rA+P} = \int dt$

where $c$ is a constant of integration.

The steps for solving the integral on the right hand side are presented below.

$\int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c$

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Isolate $A$ .

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Therefore, the solution of the given differential equation is

$A = \frac{P}{r}e^{rt} - \frac{P}{r} = \frac{P}{r}\left( e^{rt} -1 \right)$

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Step-by-step explanation:

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NOTE:

Negative (-) × negative (-) = positive (+)

Positive (+) × positive (+) = positive (+)

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