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2 years ago

7

A woman starts out walking due north for 2 miles, and then she turns due west and continues for another 2 miles. How far from he

r starting point is she?

1 answer:

Svet_ta [14]2 years ago

4 0

2.8284271247 miles i used the pythagorean theorem to get the answer

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Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

Mazyrski [523]

We can use the fact that, for $|x|$ ,

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

Notice that

$\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}$

so that

$f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]$

$f(x)=\displaystyle5\sum_{n=0}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=1}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=0}^\infty(n+1)x^n$

By the ratio test, this series converges if

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

so the series has radius of convergence $R=1$ .

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2 years ago

What is the average of the following numbers: 18, 64, 23, 78, 82, 91

Katen [24]

To Find The Answer, We Need To Add All Of Them Together, Then Divide By the Number Of Values. So:
64+23+78+82+91
-----------------------
5

<span>64+23+78+82+91 = 338.
</span>
338
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5

338/5 = 67.6

So, The Average Is 67.6

3 0

3 years ago

Hi can you make the numbers

elena-14-01-66 [18.8K]

For 44
7x2=14
14+8=22
22x2=44
Is this ok, I hope I helped :)

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3 years ago

Ten pieces of candy are in a bag. They all have the same shape; but 2 pieces are butterscotch flavored, 5 pieces are

gayaneshka [121]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

4 0

2 years ago

Please Help! I will give you a lot of points if you do!

Tanzania [10]

Answer:

47

Step-by-step explanation:

According to the number system 7 lines and 12 dots, a line is 5 and a dot is 1

you do 5*7+12 which is equal to 47

So the answer is 47,

Hope this helps!

7 0

2 years ago

Read 2 more answers