PLEASE ANSWER ASAP! What is the radius of a sphere if its surface area is 314 square inches? (Use 3.14 for π.)

Mathematics

1 answer:

lina2011 [118]3 years ago

3 0

surface area of a sphere formula: A=4πr^2

314=4 x 3.14 x r^2 => r=5

It's B

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2t+8 > -4 (t+1)<br> THE > HAS A LIL LINE UNDER IT :)<br> > = ____<br> _

lara31 [8.8K]

2t + 8 ≥ -4(t+1)

PEMDAS

2t + 8 ≥ -4t - 4

2t + 12 ≥ -4t

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7 0

3 years ago

Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.