What is the rate of change of the function described in the
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given: with
.
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
We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in .
Let's try even though we are forbidden to put 4 inside
we are still able to do so.
So what we just got is the upper limit of the range. The lower limit is
.
So the range is just .
Hope this helps :)
let's recall that a cube is just a rectangular prism with all equal sides, check picture below.
