Q:

Which one of the following is not a ramp function?

A) r(t) = t when t ? 0 B) r(t) = 0 when t < 0
C) r(t) = ?u(t)dt when t < 0 D) r(t) = du(t)?dt
 
Answer & Explanation Answer: D) r(t) = du(t)?dt

Explanation: Ramp function r(t) = t when t ? 0 and r(t) = 0 when t < 0
Also, r(t)= ?u(t)dt = ?dt = t (?u(t) = 1 for t?0)
? du(t)?dt = d(1)?dt = 0 which is not a ramp function.

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