Answer: The required inverse transform of the given function is

Step-by-step explanation: We are given to find the inverse Laplace transform, f(t), of the following function :

We have the following Laplace formula :

Therefore, we get

Thus, the required inverse transform of the given function is

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<span>By the time firework a has been launched, firework b has already been launched for 0.25 seconds, so if we treat the two as equations, then
a = 220 (t)
b =</span> 220 (t) + 220 (.25)
<span>And we want to know when these two equal eachother, as that's they will both detonate.
220t = 200 t + 200 (.25)
20t = 50
t = 2.5</span>
The answer is the second one, the y-intercept is 3 and its is less than or euqal to so you shade below