Finding the Laplace Transform of a Piecewise Function

njnear
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Homework Statement



Find the Laplace Transform of:

f(t) = {0, t < 5
t2 - 10t + 31, t\geq5

Homework Equations


The Attempt at a Solution



The answer I got was:

F(s) = e-5s (2/s3 + 6/s)

Is this correct?
 
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Can anyone help?
 
Yes. It's right. You didn't really NEED help, did you?
 
I just wanted to make sure it was correct. My book wasn't very clear on how to do the problem, so I wasn't sure. Thanks for confirming my answer. I really appreciate it.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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