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3 years ago

Please help me im on my sisters acc

Mathematics

1 answer:

olga55 [171]3 years ago

6 0

I’m pretty sure it’s A. Sorry if I’m wrong!

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Factor this x^3 + 27

masya89 [10]

(x+3)(x^2-3x+9)

this gets the x^3 while the 3x cancels out and 3*9=27

hope this helps although i didn't explain very well :)

8 0

3 years ago

Find the radius of convergence, then determine the interval of convergence

galben [10]

The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.

<h3>Find the radius of convergence R and the interval of convergence:</h3>

Ratio test is the test that is used to find the convergence of the given power series.

First aₙ is noted and then aₙ₊₁ is noted.

For ∑ aₙ, aₙ and aₙ₊₁ is noted.

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|$ = β

If β < 1, then the series converges

If β > 1, then the series diverges

If β = 1, then the series inconclusive

Here $a_{k}$ = $\frac{(x+2)^{k}}{\sqrt{k} }$ and $a_{k+1}$ = $\frac{(x+2)^{k+1}}{\sqrt{k+1} }$

Now limit is taken,

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|$ = $\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }/\frac{(x+2)^{k} }{\sqrt{k} }|$

= $\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }\frac{\sqrt{k} }{(x+2)^{k}}|$

= $\lim_{n \to \infty} |{(x+2) } }{\sqrt{\frac{k}{k+1} } }}|$

= $|{x+2 }|\lim_{n \to \infty}}{\sqrt{\frac{k}{k+1} } }}$

= $|{x+2 }|$ < 1

- 1 < ${x+2 }$ < 1

- 1 - 2 < x < 1 - 2

- 3 < x < - 1

We get that,

interval of convergence = (-3, -1)

radius of convergence R = 1

Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.

Learn more about radius of convergence here:

brainly.com/question/14394994

#SPJ1

5 0

1 year ago

Read 2 more answers

Triangles ABC and DEF are similar.

vivado [14]

All I can really remember is find the scale factor and divide it by the segment

3 0

3 years ago

Graph the solution set of the inequality 1/4x >-2<br> —

Pavel [41]

Answer:

x>= -8

Step-by-step explanation:

Hope the above image help..

Visit Quick math if you have problems with inequalities

4 0

2 years ago

A tortoise is walking in the desert. it takes 3 minutes to walk 4.8 meters. what is its speed?

postnew [5]

We have to know divide the total meters that has been traveled by the tortoise which is for 4.8 meters to the time it was completed which is 3 minutes. The formula for speed is: [ speed = distance/time ]. So the equation will be 4.8 meters/3 minutes = 1.6 meters per minute. The speed of the tortoise is 1.6 meters per minute.

8 0

3 years ago