The ANWSER is 2/4 I hope I helped
Answer:
y=x+8
Step-by-step explanation:
y=x+b
That is the equation with only the slope, however, we can use the point (-4,4) to find the y-intercept
4=-4+b
Add 4 both sides:
8=b
Thus the equation is y=x+8
Hope this helps!
Answer: 31,948.80
Step-by-step explanation: I thin it his is correct. I multiplied the original amount by .04 then subtracted that from the original number.
Answer:
1: 18.75
Step-by-step explanation:
We multiply both sides by 5.
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 
