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Troyanec [42]
3 years ago
11

Please help, will give Brainliest!

Mathematics
1 answer:
Sliva [168]3 years ago
8 0
PLEASE DO NOT CLICK THE LINK THAT PERSON SENT YOU ITS A VIRUS
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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
If mZP = 85°, which is a possible measure for ZY?
Fudgin [204]
Do you have an image attached so I can help you?
7 0
3 years ago
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Eli and his children went into a movie theater and will buy candies and pretzels. Each candy costs $3.50 and each pretzel costs
GenaCL600 [577]

Answer: 3.50c + 3.25p <_ 30

Step-by-step explanation:

You need to put the price of 3.5 C plus the price of 3.25 P to be lest that or equal to $30

5 0
2 years ago
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Confused on number 10. I put one solution, but I don’t know if it’s right. I got
egoroff_w [7]
It is no answer, because when you get 12x + 48 = 48 + 12x, they cancel each other out.
8 0
3 years ago
Monica's Money
pentagon [3]

Answer: The y-intercept should be the $20. The equation would be y=10x+20. Not sure if that’s what you’re asking.

Step-by-step explanation:

5 0
2 years ago
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