even or odd signals

Homework 2 1. Define whether the signals are even, odd, or neither. a. x(t) = x 3 b. x(t) = (cos(2t))3 c. x(t) = 3 3 + 4 2. Define whether the signals are periodic or non-periodic. If periodic, what is the period Hint: period is least common multiple a. x(t) = cos 6 sin 2 b. x(t) = cos 6 sin 2 3. Using unit step function, define following x(t) signals. a. b. 4. Solve the following questions by using the properties of unit impulse function and draw the signal on x-y coordinate system. a. cos() ( + 4 ) = sin() ( 2 1) = b. c. ( 2)3 2 () = 5. Find impulse responses for LTI system when you have following output signals. d. y(t) = ( 5) (draw the system function on x-y coordinate system) e. y(t) = ( + 4) + ( + )