Let x(t) = ? 3 e?t/4 u (t ? 1) and let y(t) = ? 4x(5t) .

(a) What is the smallest value of t for which y (t) is not zero?
(b) What is the maximum value of y (t) over all time?
(c) What is the minimum value of y (t) over all time?
(d) What is the value of y (1) ?
(e) What is the largest value of t for which y (t) > 2?


Solution:

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