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y[t]= ∫x[t],t ranges from 0 to t. Is the system a memoryless one?

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y[t]=  ∫x[t],t ranges from 0 to t.  Is the system a memoryless one?

(a) Yes

(b) No

(c) Both memoryless and having memory

(d) None of the Mentioned

The question was asked during an online exam.

I'd like to ask this question from Properties of Systems in division Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Correct option is (b) No

The explanation: While evaluating the integral, it becomes imperative to know the values of x[t] from 0 to t, thus making the system requiring memory.

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