Mathematics High School

Determine whether the series is convergent or divergent.
[infinity] 9
en+
3
n(n + 1)
n = 1
convergentdivergent

Answers

Answer 1

The given series is divergent.

We can determine the convergence or divergence of the given series using the nth term test. According to this test, if the nth term of a series does not approach zero as n approaches infinity, then the series is divergent.

Here, the nth term of the series is given by 9e^(n+3)/(n(n+1)). We can simplify this expression by using the fact that e^(n+3) = e^3 * e^n. Therefore, we have:

9e^(n+3)/(n(n+1)) = 9e^3 * (e^n / n(n+1))

As n approaches infinity, the term e^n grows faster than n(n+1). Therefore, the expression e^n / n(n+1) does not approach zero, and the nth term of the series does not approach zero either. Thus, by the nth term test, the series is divergent.

Therefore, the given series is divergent.

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Answer:
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Explanation:


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Answer:

X = 2

Step-by-step explanation:

First we'll need to simplify this equation:

Add 9x on both sides:

13x - 21 = 5

Add 21 on both sides:

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Divide 26/13

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(You can check this yourself by plugging x into the equation)

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Answers

delete this

boop uwu

Answer:

No solutions

Step-by-step explanation:

4(2r + 3) = 15r - 11 + 1 - 7r

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Step-by-step explanation:

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1.
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​

Answers

Answer:

See the attached

Step-by-step explanation:

y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graph is the out of range region.

Answer:

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Step-by-step explanation:

In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

420

Step-by-step explanation:

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B. 0.59x + 8.50 < 6.89

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

$37.50

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Step 1

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Step-by-step explanation:

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What is 4x^2+14x+6=9x^2-6x+1 answer

Answers

Answer:

20x+5=5x^2

Step-by-step explanation:

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