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$x(t)$ is nonzero only for $T_x<t<{T}'x$ , and similarly, $y(t)$ is non zero only for $T_y<t<{T}'y$. Let $z(t)$  be convolution of $x(t)$ and $y(t).$ Which one of the following statements is TRUE?

  1. $z(t)$ can be nonzero over an unbounded interval.
  2. $z(t)$ is nonzero for $t<(T_x+T_y)$
  3. $z(t)$ is zero outside of $T_x+T_y<t<{T}'_x+{T}'_y$
  4. $z(t)$ is nonzero for $t>{T}'_x+{T}'_y$
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