Consider the system with T>0 and input-output relationship ct+T y(t) == ft+ x(t)dt a) Is it a linear system? Justify your answer. b) Is it a time-invariant system? Justify your answer. c) Is it a causal system? Justify your answer. d) Is it a stable system? Justify your answer. [4pt] [4pt] [2pt] [2pt] [2pt] e) Is it a memoryless system? Justify your answer. f) Can we evaluate the output of the system in response to any input using convolution? Yes or no? Why? [2pt]