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 
Answer:
Point estimate of the corresponding population mean = $8,213
Step-by-step explanation:
Given:
Average cost of a wedding reception (x) = $8,213
Total number of sample (n) = 450
Standard deviation = $2185
Find:
Point estimate of the corresponding population mean
Computation:
Average cost of a wedding reception (x) = Point estimate of the corresponding population mean
Point estimate of the corresponding population mean = $8,213
Answer:
C) (x-2)(x+3)
Step-by-step explanation:
x^2+x-6=(x-2)(x+3)
Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6.
Answer: 17:15
Step-by-step explanation:
From the question, we are informed that the ticket booth at a school play sells 170 adult tickets and 150 student tickets.
The ratio of adults to students will be:
= 170/150
= 17:15
The ratio is therefore 17:15.
Answer:
0.9 or .9
Step-by-step explanation:
9 out 10 are shaded
In percentage, 90%
In fraction 9/10
