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evaluate ;

$ L{\phi (t) } , where \phi (t) = 1, 0< t< 2 $
t , t >2

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answer

$$L(\phi(t))(s)=L(h(t)-h(t-2)+th(t-2))(s)=\frac{1}{s}-\frac{e^{-2s}}{s}+2\frac{e^{-2s}}{s}+\frac{e^{-2s}}{s^2}$$

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