3 years ago

Pleas help me!!!

Mathematics

1 answer:

tigry1 [53]3 years ago

8 0

The answer is about 900.

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Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

$(t+5) x'(t) + x(t) = 5(t+5)e^{5t}$

Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

3 0

2 years ago

There are two factors of -36 such that one factor is 11 less than half of the other factor choose all the pairs of these factors

Amanda [17]

Answer with explanation:

Factors of -36 are

$=\pm 1, \pm 2,\pm 3,\pm 4, \pm 6, \pm 9, \pm 12, \pm 18, \pm 36$

It is given that , among the factors of , -36 , one factor is 11 less than half of the other factor.

If you will take, $=\pm 1,\pm 3,\pm 4, \pm 9,$ , then you can find such pairs.

Pairs are= (3,-4), (9, -1),(-1, -6),

7 0

3 years ago

Sergio is s years old. which expression shows how old he will be 7 years from now? question 5 options: 7s 7 – s s 7 7s 7

notsponge [240]

S+7. Tell your teacher never to use s as a variable ever again.

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2 years ago

From the beginning of the day the temperature rose 15° so that by 4 pm it was 87°. What was the temperature at the start of the

Stolb23 [73]

Answer:

72 degrees

Step-by-step explanation:

the temperature rose 15, and ended as 87, so the temp was 72 before it rose

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3 years ago

One of the most popular indonesian traditional ensemble

Arte-miy333 [17]

Answer:

Gamelan

Step-by-step explanation:

a gamelan, is gamelan

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2 years ago