Questions $3,4$ and $5$ pertain to the following systems

y$($t$)=$ S$1[$x$($t$)]=$

Z t

t$10$

cos$(\backslash$tau $)$x$(\backslash$tau $)$d$\backslash$tau

y$($t$)=$ S$2[$x$($t$)]=$ cos$($tx$($t$))$

y$($t$)=$ S$3[$x$($t$)]=$ t cos$($x$($t$))$

Note that x$($t$)$ is the input and y$($t$)$ is the output.

$2$