This course is Signals and Systems . please refer to this link it may help : https://www.chegg.com/homework-help/questions-and-answers/problem-3-b06-systems-see-properties-properties-could-investigate-homogeneity-superpositio-q22355565

(le) 12(11) when (1) +0 T5 (0)} (1) 0 otherwise T6 {(t)} = 2(t) cos(wt), w > 0 T{()} = x(0)u(t) 1 el 1 2 T: {(0)} (T)dt, T>0 T (1f) (1g) (1h) L" + 1 urbelt v)dt, where v is a given signal fr(t) T9{:-(0)} = 2 (li) dt2 (le) 12(11) when (1) +0 T5 (0)} (1) 0 otherwise T6 {(t)} = 2(t) cos(wt), w > 0 T{()} = x(0)u(t) 1 el 1 2 T: {(0)} (T)dt, T>0 T (1f) (1g) (1h) L" + 1 urbelt v)dt, where v is a given signal fr(t) T9{:-(0)} = 2 (li) dt2