# 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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