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3 years ago

PLEASE PLE ASE PLEASE I BEG YOU HELP ME PLEASE!!! PLEASE PLEASE PLEASE IF I GET IT WRONG I FAIL MATH!!

Mathematics

1 answer:

nordsb [41]3 years ago

5 0

11. D
12. D
I HOPE IT HELPS ; ]

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If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

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

Replace $n+1$ with $n$ , so that the series is equivalent to

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

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

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

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

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3 years ago

a bag contains six red marbles and seven blue marbles. You randomly pick a marble and then return it to the bag before picking a

tankabanditka [31]

Answer:

6/13 7/13 chance to get the marbles

Step-by-step explanation:

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3 years ago

Which decimal is equivalent to 25/6

nataly862011 [7]

Answer: C

Step-by-step explanation: This is actually very simple, all you have to do is type in a calculator 25 divided by 6. After that you will be given 4.1666666 repeating. So your answer is 4.16 with a repeating 6. Hope this helps!

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3 years ago

PLEASE EXPLAIN YOUR ANSWER

umka21 [38]

Answer:

equivalent to 58/100

and 58%

Step-by-step explanation:

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3 years ago

Please do correctly! I will mark you Brainliest!

AfilCa [17]

Answer: What question am I answering

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2 years ago