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Nady [450]
3 years ago
8

Anybody know the answer to this?

Mathematics
2 answers:
sattari [20]3 years ago
5 0

The period is the distance between 2 high or low points.

The above graph has the highest point on 0 then the lowest point is on 2PI/3.

This means the next highest point would be on 4PI/3, and because the first point was on 0, then the period would be 4PI/3.

kifflom [539]3 years ago
3 0
That looks pretty complicated
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(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3
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Answer:  The required inverse transform of the given function is

f(t)=8t^2e^{4t}.

Step-by-step explanation:  We are given to find the inverse Laplace transform, f(t), of the following function :

F(s)=\dfrac{16}{(s-4)^3}.

We have the following Laplace formula :

L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.

Therefore, we get

f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.

Thus, the required inverse transform of the given function is

f(t)=8t^2e^{4t}.

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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
<span>By the time firework a has been launched, firework b has already been launched for 0.25 seconds, so if we treat the two as equations, then

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