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3 years ago

Hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

3 0

Answer:

Center (4, -13)

Radius = 17

Step-by-step explanation:

Circle equation: $( x - h )^2 + ( y - k )^2 = r^2$

(h, k) is the center of the circle and the r is the radius.

$(x-4)^{2} +(y+13)^{2} = 289$

h = 4, k = -13, r = 17

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Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

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and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

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3 years ago

Five friends are equally sharing 3 packs of football cards.How much of a pack will each friend get?

Mashutka [201]

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3 years ago

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Easy one - giving brainly - show work.<br>you can do any of the 3, i don't mind.

Murrr4er [49]

Answer:

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Step-by-step explanation:

For A, we add the cost of the shirt and jeans to get the total before tax.

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$1.18 * 13 = $15.34.

$118 - $15.34 = $102.66

Hope this helped! Have a nice day :)

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2 years ago