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GuDViN [60]
2 years ago
10

1/2 to exponent of 4

Mathematics
1 answer:
Neporo4naja [7]2 years ago
4 0

Answer:

0.0625 is the answer.

Hope it helps you!!!

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Numbers with a sum of 1
riadik2000 [5.3K]

Answer:

0.5 + 0.5, 0 + 1, 0.6 + 0.4, etc etc

Step-by-step explanation:

4 0
2 years ago
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Find a power series representation of e^x sin(x)
liberstina [14]
The Taylor series is defined by:
f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
f^n (x) = e^x g^{n-1} (x) + e^x g^n (x)  \\ g^0 (x) = sin x

Do this successively to n = 6.
f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x)  \\ f^3 (x) = e^x(2cos x - 2sin x)  \\ f^4 (x) = e^x (-4 sin x)  \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)

Plug in x=0 and sub into taylor series:
e^x  sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
6 0
3 years ago
Cards are selected from a standard deck of 52, the results are recorded in the table. what is the empirical probability of not s
Cerrena [4.2K]

The table have the following results:

 

Hearts – 7

Diamonds – 4

Clubs – 8

Spades – 5

There is a total of 24

 

The question is asking for the probability of not selecting a heart.

So we need to add the probabilities of the diamonds, clubs, and spades since these suits are different from hearts.

So = 4 + 8 + 5 = 17

And we have a total of 24 cards

<span>Therefore the probability is 17/24. </span>

7 0
2 years ago
What is the simplest form for 30/42? thanks!?
andre [41]
It would be: 30/42 = 15/21 = 5/7

In short, Your Answer would be 5/7

Hope this helps!
7 0
3 years ago
Read 2 more answers
X minus eleven equals negative twenty
Serhud [2]
X-11=-20
add 11 on both sides X=9
5 0
3 years ago
Read 2 more answers
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