Suppose that h(t) = {1-²², 0

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Hello. I think I am on the right track but I want to make sure. If you can't do all the problems could you do one of the last couple then? Thank you for your time. 

Suppose that

\[ h(t) = 
  \begin{cases} 
   1 - t^2, & 0 < t < 1 \\
   0, & \text{otherwise}
  \end{cases}
\]

is the impulse response for a continuous-time LTI system and that the system is stimulated with the signal

\[ x(t) = 
  \begin{cases} 
   -t, & -1 < t < 1 \\
   0, & \text{otherwise}
  \end{cases}
\]

Plot the signal \( x(t) \) by hand.

Find and plot the signal \( h(-\tau) \) as a function of \( \tau \) by hand.

Find and plot the signal \( h(-2 - \tau) = h(-(\tau + 2)) \) as a function of \( \tau \).
Transcribed Image Text:Suppose that \[ h(t) = \begin{cases} 1 - t^2, & 0 < t < 1 \\ 0, & \text{otherwise} \end{cases} \] is the impulse response for a continuous-time LTI system and that the system is stimulated with the signal \[ x(t) = \begin{cases} -t, & -1 < t < 1 \\ 0, & \text{otherwise} \end{cases} \] Plot the signal \( x(t) \) by hand. Find and plot the signal \( h(-\tau) \) as a function of \( \tau \) by hand. Find and plot the signal \( h(-2 - \tau) = h(-(\tau + 2)) \) as a function of \( \tau \).
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