Which of the following sequences is NOT geometric?

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

Answer:

Step-by-step explanation:

This is because all of the other sequences are geometric. They all were being divided by 2 besides letter B.

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Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con

monitta

Let $f(x)=e^{-1/x}$ . Then $f'(x)=\frac1{x^2}e^{-1/x}>0$ for all $x\ge2$ , so $f$ is strictly increasing. As $x\to\infty$ , $e^{-1/x}\to e^0=1$ , so $f$ is bounded above by 1. This is to say,

$e^{-1/x}$

and the integral of $\frac1{x^2}$ converges over the same domain, so this integral must also converge by comparison.

We have, by setting $y=-\frac1x$ ,

$\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}$

8 0

3 years ago

harkovskaia [24]

Answer:

There was 5% increase in visitors from last year to this year.

Step-by-step explanation:

Given:

Number of Visitors at theme park last year = 2000000

Number of Visitors at theme park this year = 2100000

We need to find the percent increase in visitors from last year to this year.

First we will find Number of increase in visitors from last year to this year.

Number of increase in visitors is equal to Number of Visitors at theme park this year minus Number of Visitors at theme park last year.

Framing in equation form we get;

Number of increase in visitors = 2100000 - 2000000 = 100000

Now Percent of increase in visitors is can be calculated by dividing Number of increase in visitors with Number of Visitors at theme park last year and then multiplied with 100.

Framing in equation form we get;

Percent of increase in visitors = $\frac{100000}{2000000}\times 100 = 5\%$