3 years ago

Which of the following is a numerical expression

1 answer:

6 0

What are the following?

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ivanzaharov [21]

Step-by-step explanation:

the answer is on foto

y = 9

7 0

3 years ago

xxMikexx [17]

I think the given series is

$\displaystyle\sum_{n=2}^\infty \frac{n^2}{n^3+1}$

You can use the integral test because the summand is clearly positive and decreasing. Then

$\displaystyle\sum_{n=2}^\infty\frac{n^2}{n^3+1} > \int_2^\infty\frac{x^2}{x^3+1}\,\mathrm dx$

Substitute u = x ³ + 1 and du = 3x ² dx, so the integral becomes

$\displaystyle \int_2^\infty\frac{x^2}{x^3+1}\,\mathrm dx = \frac13\int_9^\infty\frac{\mathrm du}u = \frac13\ln(u)\bigg|_{u=9}^{u\to\infty}$

As u approaches infinity, we have ln(u) also approaching infinity (whereas 1/3 ln(9) is finite), so the integral and hence the sum diverges.

5 0

3 years ago

babunello [35]

$1032.50, Growth rate - 5.23% was the US gross national product

7 0

3 years ago

icang [17]

Answer:

170.

Step-by-step explanation:

The number of cell phones = 68 * 3/2

= 102.

Total = 102 + 68

= 170 phones.

8 0

3 years ago

Arte-miy333 [17]

N - 18 = -6

n - 8 = -6
+ 18 + 18

n = 12

7 0

3 years ago