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makvit [3.9K]
2 years ago
6

Use the equation below to find c, if a=43 and b= 53. C= = 180-a-5

Mathematics
1 answer:
Solnce55 [7]2 years ago
5 0

Answer:

180-a-5

180-43-5

180-48

180-48=132

c=132

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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.

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