Transformation I

Calculus Level 3

Let \( f (t) \) be the inverse Laplace transform of the fraction

\(\large \frac {2s} {s^4 + 10s^2 + 9} \).

If \( f( \frac {\pi}{3} ) \) can be expressed in the form \( \frac {a}{b} \) where \(a\) and \(b\) are coprime integers, determine \(a+b\).

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