Express it as a decimal.
3/20 = 0.15 by division
then move the decimal point twice to the right and affix the percent symbol
thus, 15%.
We have by distributivity of limits over sums, and continuity of 
and 
, that
Given 
, it follows that
Factors of -100
-1,100 or 1,-100
-2,50 or 2,-50
-4,25 or 4,-25
-5,20 or 5,-20
-10,10
now through trial and error we add these together until we get 8 which is...
none of these, are you sure that you have the correct numbers?
Answer:
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)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5Bt%20%5Ccos%205t%5D%3D%28-1%29F%27%28s%29)
with ![F(s)=\mathcal{L}[\cos 5t]](https://tex.z-dn.net/?f=F%28s%29%3D%5Cmathcal%7BL%7D%5B%5Ccos%205t%5D)
.
Now, 
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that 
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation, 
, then the Laplace transform we were searching is 
