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3 years ago

The process of generating electricity from dams and nuclear power plants is very different

Mathematics

2 answers:

Ugo [173]3 years ago

5 0

Answer:

The only two answers that makes sense is Kinetic energy to mechanical energy, and mechanical energy to electrical energy.

Troyanec [42]3 years ago

3 0

Dams are commonly built near rivers or waterfalls. The energy stored in the water from a certain height or from the strong surge of water is used to turn the turbine to generate electricity. Nuclear energy, on the other hand, comes from the energy released by nuclear reactions using radioactive elements.

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Now, lets evaluate the same integral using power series. first, find the power series for the function f(x = \frac{32}{x^2+4}. t

BlackZzzverrR [31]

No idea what the previous part of the problem is, but you have

$f(x)=\dfrac{32}{x^2+4}=\dfrac8{1-\left(-\frac{x^2}4\right)}=\displaystyle8\sum_{n\ge0}\left(-\frac{x^2}4\right)^n$
$f(x)=\displaystyle8\sum_{n\ge0}\left(-\dfrac14\right)^nx^{2n}$

which is valid for $\left|-\dfrac{x^2}4\right|$ , or $|x|$ . So the integral from 0 to 2 is

$\displaystyle\int_0^2f(x)\,\mathrm dx=\int_0^28\sum_{n\ge0}\left(-\frac14\right)^nx^{2n}\,\mathrm dx$
$=\displaystyle8\sum_{n\ge0}\left(-\frac14\right)^n\int_0^2x^{2n}\,\mathrm dx$

Note that since the power series only converges on the interval if $x$ is strictly less than 2, which means we have to treat this as an improper integral.

$=\displaystyle8\sum_{n\ge0}\left(-\frac14\right)^n\lim_{t\to2^-}\int_0^tx^{2n}\,\mathrm dx$ [/tex]
$=\displaystyle8\sum_{n\ge0}\left(-\frac14\right)^n\lim_{t\to2^-}\frac{x^{2n+1}}{2n+1}\bigg|_{x=0}^{x=t}$
$=\displaystyle8\sum_{n\ge0}\frac{(-1)^n}{2^{2n}(2n+1)}\lim_{t\to2^-}t^{2n+1}$
$=\displaystyle16\sum_{n\ge0}\frac{(-1)^n}{2n+1}$
$=16-\dfrac{16}3+\dfrac{16}5-\dfrac{16}7+\dfrac{16}9+\cdots$

6 0

3 years ago

A northbound bus returns to the bus stop every 20 minutes. The southbound bus returns to the bus stop every 25 minutes.How long

Klio2033 [76]

They stop at the same time after 4 times for the southbound bus to return and five times for the northbound bus returns to the bus stop

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3 years ago

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Of all the students enrolled at the American dream, 9% are playing a music instrument. There are 330 students in ADS. How many s

Genrish500 [490]

Exactly 29.7, but you can't have 7/10 of a student so you round to 30. So 30 students are playing a music instrument because 330 times 0.09 is about 30

5 0

3 years ago

Which of the following functions is not a sinusoid?

Nezavi [6.7K]

A sinusoid is cyclical and has a period or frequency.

y = sin x is a sinusoid, with a period of 2π.
y = √x is not a sinusoid.
y = cos x is a sinusoid with a period of 2π.

Answer: y = √x is not a sinusoid.

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3 years ago

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jillians school is selling tickects for a play. the tickets cost $10.50 for adults and $3.75 for students

Natali5045456 [20]

Answer:

What is the question?

Step-by-step explanation:

We need to know what problem to solve with the information provided.

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3 years ago