A system is described by the equation y[n]=∑k=−12kx[n−k]. Question 1 Determine whether the system is linear using a derivation on paper. Select one of the following. Responses The system is linear The system is linear The system is nonlinear The system is nonlinear The system is neither linear nor nonlinear The system is neither linear nor nonlinear The system is both linear and nonlinear The system is both linear and nonlinear Check Answer Points possible: 1 Allowed attempts: 3 Question 2 Determine whether the system is time invariant using a derivation on paper. Select one of the following. Responses The system is only time invariant if the input is a constant The system is only time invariant if the input is a constant The system is time invariant The system is time invariant Time does not play a role in this system because of the sum Time does not play a role in this system because of the sum The system is neither time varying nor time invariant The system is neither time varying nor time invariant The system is time varying The system is time varying Check Answer Points possible: 1 Allowed attempts: 3 Question 3 Determine whether the system is causal. Select one of the following. Responses Not enough information is given to assess causality Not enough information is given to assess causality The system is causal The system is causal The system is causal only if x[n]=δ[n] is the input The system is causal only if x[n]=δ[n] is the input The system is noncausal The system is noncausal The system is neither linear nor nonlinear The system is neither linear nor nonlinear Check Answer Points possible: 1 Allowed attempts: 3