Problem 2(a) [(i)-2pts, (ii)-2pts, (iii)-1pt] An LTI system of unit impulse response h(t) is subjected to an input signal x(t), resulting in an output y(t). [t 0

elsewhere (i) Find the convolution, y(t) = x(t) * h(t). (ii) Sketch your result for y(t), clearly labeled and expressed as a function of t. (iii) Is this a causal or non-causal system? Justify your answer. Solution 2(a): and h(t)=28(t-1)/nProblem 2(b) [(i)-2.5pts, (ii)-2.5pts] For the following impulse responses of LTI systems, determine if each system is causal. non-causal and/or stable, unstable. Justify your answers! (1) h(t) = − ½e²ª¹u(-1)-1}{e^¹u(t) (0) (0 = 1/3e²¹u(1) - 1e¹u(1) Solution 2(b):