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yuradex [85]
3 years ago
11

Please help me and explain please

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0

Answer:

?

Step-by-step explanation:

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If
Leno4ka [110]

Answer:

\frac{s^2-25}{(s^2+25)^2}

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given:\mathcal{L}[t \cos 5t]=(-1)F'(s) with F(s)=\mathcal{L}[\cos 5t].

Now, F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt.

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s).

Solving for F(s) on the last equation, F(s)=\frac{s}{s^2+25}, then the Laplace transform we were searching is -F'(s)=\frac{s^2-25}{(s^2+25)^2}

3 0
3 years ago
Which is the least <br><br><br> Pleas help ?!
fiasKO [112]

Answer:

0.35

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Can someone help me with these three questions?
N76 [4]

Answer:

1. =

2. <

3. <

Step-by-step explanation:

Note: When comparing decimals you always place both decimals right above each other.

1 is equal to because once you put a 0 behind the 2.1 they are both the same.

2.10

2.1    <add 0 as space holder

2 is less than because they are both negative you are looking for which one is closest to zero.

-4.5   <add 0 as place holder

-4.25   <closest to zero

3 is less than because \pi(pie) equals 3.141592654 which is less than 3.2.

3.141   <do not need to add whole decimal

3.2   <add two 0's as a placeholder

5 0
2 years ago
Find the rate of decay of the function b(x)=4(0.006)^x<br><br> Enter your answer as a percent
inna [77]
Try using a calculator i don't have one on me sorry :(
7 0
3 years ago
What the missing value of -4x-y=24
Aneli [31]

Answer:

6

Step-by-step explanation:

24/-4

5 0
2 years ago
Read 2 more answers
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