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storchak [24]
3 years ago
10

The data shows the inches of rainfall in a city for seven consecutive days. 0.1, 0.3, 0.0, 1.1, 0.4, 0.0, 0.2

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:

What's the question?

Step-by-step explanation:

Please mark as Brainliest! :)

Have a nice day.

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93000000 in standard form
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If we would put it in scientific notation though, it would be: 9.3 x10 ^7 (to the power of 7)
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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
Solve. 3p + 13 = 37 enter answer in box
Snowcat [4.5K]
<span>3p + 13 = 37
Subtract 13 from both sides
3p=24
Divide 3 on both sides
Final Answer: p=8</span>
6 0
2 years ago
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