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4 years ago

HELP!

Mathematics

1 answer:

babymother [125]4 years ago

5 0

Arrange the numbers in order from smallest to largest:

28, 35, 40, 40, 45, 52, 54, 58, 60

Median is the middle value = 45

Mode is the number that appears most = 40

Mean is the average. Add the numbers and divide:

412/9 = 45.77 = 45.78

Range is difference between highest and lowest = 60 - 28 = 32

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Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

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

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

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

6 0

4 years ago

#11. A) A person on the top of a burning building looks down at a firetruck at an angle of 35°. If

tamaranim1 [39]

Answer:

Location of a Fire Fire tower A is 30 kilometers due west of fire tower B. A fire is spotted from the towers, and the bearings from A and B are N76°W and N56°W respectively (see figure). Find the distance d of the fire from the line segment AB.

Hope this helped :)

Step-by-step explanation:

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3 years ago

What is the x and y intercept of -1/2x+3?

slavikrds [6]

Answer:

-1/2x+3=y

to find xint make y=0

-1/2x+3=0

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x=6

so xint=6

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3 years ago

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32 divided by 127 and the second one, i dont know

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3 years ago

- 2x+3 = -X+12<br> Help me please

Harrizon [31]

Answer:

-9

Step-by-step explanation:

-2x + 3 = -x + 12

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7 0

4 years ago

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