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Anastasy [175]
2 years ago
11

The population of a remote village is about 3 x 102 and the population of the nearest large city is

Mathematics
2 answers:
Arisa [49]2 years ago
6 0

Answer:

A

Step-by-step explanation:

Effectus [21]2 years ago
4 0

Answer:

DE

Step-by-step explanation:

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Integrate this two questions ​
tankabanditka [31]

Simplify the integrands by polynomial division.

\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)

\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)

Now computing the integrals is trivial.

5.

\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}

where we use the power rule,

\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)

and a substitution to integrate the last term,

\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)

8.

\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}

using the same approach as above.

5 0
1 year ago
Two skaters are racing toward the finish line of a race. The first skater has a 40 m lead and is traveling at a rate of 12 m/s.
ivanzaharov [21]
The second skater wont pass him, he is ahead and they are going the same speed
3 0
3 years ago
What is the area of the parallelogram?
Bezzdna [24]

The area of the parallelogram is mathematically given as

A = 7 square units Option B

<h3>What is the area of the parallelogram?</h3>

Generally, the equation for a parallelogram is mathematically given as

A=bH

Where

b=\sqrt{4^2+1^2}

b=4.123

and

H=1.75

Hence

A=3*1.75

A=7.2square units

In conclusion,  a parallelogram

A = 7 square units

Read more about parallelogram

brainly.com/question/1563728

#SPJ1

6 0
1 year ago
Please help me and explain well!
Fynjy0 [20]

Answer:

i can see the image

Step-by-step explanation:

brainliest me

8 0
2 years ago
Write 2.1 (periodic decimal, only 1 repeats) as a mixed number. Show your work.
zvonat [6]

Answer:

2 1/10

Step-by-step explanation:

.1 is the same as 1/10 and the 2 is well a normal boring 2

8 0
3 years ago
Read 2 more answers
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