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3 years ago

5

I don’t know if it negative or zero please help me

1 answer:

Paraphin [41]3 years ago

5 0

Answer:

i think it is negative

Step-by-step explanation:

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Sloan [31]

Try the first option if that's an option

3 0

3 years ago

How many terms are in this expression?<br> 5 -x2 + 4y - 3x + 4z

sleet_krkn [62]

Answer: −x2−3x+4y+4z+5

Step-by-step explanation: terms are (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

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

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5 0

1 year ago

Read 2 more answers

SOLVING QUADRATIC EQUATIONS<br> 2) Solve 2x2 - 5 = 27

Nimfa-mama [501]

Answer:

x = ±4

Step-by-step explanation:

Step 1: Write out quadratic

2x² - 5 = 27

Step 2: Add 5 to both sides

2x² = 32

Step 3: Divide both sides by 2

x² = 16

Step 4: Take the square root of both sides

x = ±4

∴ x can equal -4 or 4

7 0

3 years ago

The volume of a spherical ball is 4500 cubic centimeters. Find the radius of the ball

babunello [35]

Answer:

$r^{3}=4050$

r = ∛4050

Step-by-step explanation:

$V=\frac{4}{3} \pi r^{3}$

$5400=\frac{4}{3} \pi r^{3}$

$r^{3}=3(\frac{5400}{4} )$

$r^{3}=3(1350 )$

$r^{3}=4050$

8 0

3 years ago