LTI systems in time domain

A system with input x[n]x[n], gives the output signal y[n]=x2[n]+x[n2]y[n]=x^2[n]+x\left[n^2\right]. Which of the following properties does this system have?
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A unit step signal is given as input to two distinct systems - a differentiator system and an accumalator system. The corresponding outputs will be?
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A unit step signal is given as input to a cascade of two systems - a differentiator system and an accumalator system. The corresponding outputs will be?
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An impulse input signal generates two impulses at the output for an LTI system. If sum of two distinct impulses is given as input to this system, the output will contain
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When a moving average system of length MM is used for noise suppression,
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