Answer:
Step-by-step explanation:
9L/4days = 2L/1day, which is the unit rate.
Over the course of 4 days: (2L/day)(4 days) = 8 Liters
Answer:
exact form: d=99/2
decimal form: 49.5
mixed number form: 49 1/2
Step-by-step explanation:
sorry for the hold up
Answer:
30 because if u divided 120 by 4 its 30 and the parents get 1/4 so its 3....... 30/120
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 
