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Roman55 [17]
3 years ago
14

D R с C The diagram shows two squares ABCD and PQRS. Given that AB-12 cm, calculate (1) the perimeter of PORS. the area of AORS.

Mathematics
1 answer:
Lelu [443]3 years ago
7 0

<em>the</em><em> </em><em>diagra</em><em>m</em><em> </em><em>isn't </em><em>available.Please</em><em> </em><em>fix</em><em> </em><em>that</em>

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(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3
Stells [14]

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}.

6 0
3 years ago
94b + 48 &lt; b + 54 &lt; 94b + 82
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3 years ago
PLEASE HELP!!! WILL MARK BRAINLIEST!!!
kakasveta [241]
The answer is you need to post a pic in order to give help
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Answer:

3.8

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3.8

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