Study of convolution: series and parallel system            

For an LTI system, it is given,x(t)=0,|t|>2 and h(t) =0, |t|>3 then, x(t)*h(t)=0 for |t|>T .The value of T is __________

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We have x(n) = {2, 3, -1, -4} & h(n) = {2,4,1}. If y (n) is convolution of x(n) & h(n), then what is the sum of the initial and final sample of y(n) ?

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Which of the following statements concerning the LTI system is correct? 1. If the impulse response of an LTI system is periodic and non-zero, then the system is unstable. 2. the inverse of a causal LTI system is always causal. 3. the cascade connection of a non-causal LTI system with a causal one necessarily produces a non-causal system.
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Consider a continuous-time system with input x(t) and output y(t) given by y(t) = x(t)cos(t) This system is
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The continuous time system described by y(t) = x(t2) is
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