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1. The impulse response of a LTI system is given by h[n] = 8[n] + [n-1] + [n-3] and the input to the system is given by x[n] = 8[n] - 8[n-1]. Calculate the system response y[n] graphically. 2. If an input to a system is given by x[n] = [7,4,1,6] and the impulse response of a system is given by h[n] = [5,4,2,8,9,3]. Find the system response y[n] graphically using discrete time convolution. 3. Consider an LTI system with the impulse response given by h(t) = u(t)-u(t-2). Determine and sketch the response of the system for the input 0 ≤t≤1 1<t≤2 t, x(t) = {-t + 2; 4. The impulse response of a linear, time-invariant system is given by (1, 0≤t≤3 elsewhere h(t) = {0, (5, 1 ≤ t ≤00 The input x(t) applied to the system is given by x (t) = (o, elsewhere Determine the response y(t) for all t.