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pav-90 [236]
3 years ago
6

Three prime numbers which add up to 25

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
8 0
3 prime numbers that add to 25 are 17, 3, & 5
Klio2033 [76]3 years ago
7 0
17 3 and 5 adds upp to 25
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Answer:

L\left(te^{2t }sin3t\right)=\frac{6s-12}{(s^2-4s+13)^2}.

Step-by-step explanation:

If F(s)= L{f(t)}

Then L\left\{(t^nf(t)\right\}=(-1)^n\frac{\mathrm{d^n}F(s)}{\mathrm{d^n}s}

L\left\{te^{2t}sin3t\right\}

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L\left\{e^{at}sinbt\right\}=\frac{b}{(s-a)^2+b^2}

Therefore,L\left\{e^{2t}sin3t\right\}=\frac{3}{(s-2)^2+(3)^2}

L\left\{e^{2t}sin3t\right\}=\frac{3}{s^2-4s+13}

L\left\{te^{2t}sin3t\right}=-\frac{\mathrm{d}F(s)}{\mathrm{d}s}

=-\frac{\mathrm{d}e^{2t}sin3t}{\mathrm{d}s}

L\left\{te^{2t}sin3t\right\}

=\frac{3(2s-4)}{(s^2-4s+13)^2}

L\left\{te^{2t}sin3t\right\}=\frac{6s-12}{(s^2-4s+13)^2}.

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