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3 years ago

Factorize 2√2a∧3 +8b∧3 -27c∧3+18√2abc

Mathematics

1 answer:

rosijanka [135]3 years ago

7 0

Answer:

{sqrt(2) 2 sqrt(a), 8 b + 3, 3 - 27 c, 18 sqrt(2) a b c + 3}

Step-by-step explanation:

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Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge

tresset_1 [31]

Answer:

Radius of the convergence is R = $\frac{1}{21}$

and,

The Interval of convergence is $-\frac{1}{21}$

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = $\lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|$

R = $\lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|$

R = $\lim_{n \to \infty} |21x^{1}|$

now,

for convergence R|x| < 1

Therefore,

$\lim_{n \to \infty} |21x^{1}|$ < 1

$-\frac{1}{21}$

and,

Radius of the convergence is R = $\frac{1}{21}$

and,

The Interval of convergence is $-\frac{1}{21}$

8 0

3 years ago

Factor the Polynomial by solving x^2 + bx + c = 0.<br><br> m^2 - mv - 56v^2

marissa [1.9K]

Factor the Polynomial by solving x^2 + bx + c = 0.

m^2 - mv - 56v^2

Factor by grouping.

(m−8v)(m+7v).

x^2 + bx + c = 0

$x=\frac{-a+\sqrt{a^{2-4c} } }{2} , x=\frac{-a-\sqrt{a^{2-4c} } }{2}$

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3 years ago

Which of the following are vertical asymptotes of the function y= 3cot(2x)-4

alexandr1967 [171]

The vertical asymptotes for y = 3cot(2x)-4 occur at 0,π/2, and every is x = πn/2, where n is an integer.

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lina2011 [118]

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3 years ago