Answer:
y(t)= 11/3 e^(-t) - 5/2 e^(-2t) -1/6 e^(-4t)
Step-by-step explanation:
We know that 
, so we have
By using the method of partial fraction we have:
Now we have:
](https://tex.z-dn.net/?f=%20y%28t%29%3DL%5E%7B-1%7D%5BY%28s%29%5D%28t%29%20)
Using linearity of inverse transform we get:
 -L^{-1}[\frac{5}{2(s+2)}](t) -L^{-1}[\frac{1}{6(s+4)}](t)](https://tex.z-dn.net/?f=%20y%28t%29%3DL%5E%7B-1%7D%5B%5Cfrac%7B11%7D%7B3%28s%2B1%29%7D%5D%28t%29%20-L%5E%7B-1%7D%5B%5Cfrac%7B5%7D%7B2%28s%2B2%29%7D%5D%28t%29%20-L%5E%7B-1%7D%5B%5Cfrac%7B1%7D%7B6%28s%2B4%29%7D%5D%28t%29%20)
Using the inverse transforms
![L^{-1}[c\frac{1}{s-a}]=ce^{at}](https://tex.z-dn.net/?f=%20L%5E%7B-1%7D%5Bc%5Cfrac%7B1%7D%7Bs-a%7D%5D%3Dce%5E%7Bat%7D%20)
we have:
kilogram and milligram are proper units of mass in the metric system . Anything with the suffix -gram is a mass measurement Hope this helps!
A.
You can subtract values that are being divided in Sin waves.
Mr.chen drove 23 miles south from where he started. 3.25×50=162.5 is what you have to do first because it said that he drove north for 3.25 hours and each hour he drives for 50 miles. Then you have to subtract 162.5 from 185.5 so that you get how far he drove from where he started. 185.5 - 162.5= 23. So he drove 23 miles south from where he started. I hope this helps.
Answer:
33.0
Step-by-step explanation:
Using the pythagoras theorem
tan theta = opposite/adjacent
tan 41 = x/38
x = 38tan41
x = 38(0.8693)
x = 33.03
Hence the value of x to nearest tenth is 33.0
