please help as soon as possible1. Consider the system shown in Figure 1 below. Ideal Ideal y(t) Sample period T Sample period T Figure 1. System for Problem 1. The input to the above system is x(), the output is y), and the sampling period for both the ideal A/D and ideal D/A is T>0. For your answers to the various parts below, be sure to include appropriate units, where applicable. a) Suppose that x(t)-5. Determine all numerical values of T such that y(t)-x(t). Justifv your answer. b) Now, suppose that x) 2cos(2t fit)+4cos(2/Tt ft), where fi-100Hz and 6 500 Hz. Determine all numerical values of T such that y(t)-x(t). Justify your answer. Finally, suppose that x(t)-2cos(2m fit) +4 cos(2mft), i-100Hz, f 500Hz, and output y(0) has the form c) y() Acos(2ms), where A 0 is the output peak value. First, determine the numerical T value such that the output (1) satisfies the above form, and then determine the positive numerical peak output value A. Show your work. 1. Consider the system shown in Figure 1 below. Ideal Ideal y(t) Sample period T Sample period T Figure 1. System for Problem 1. The input to the above system is x(), the output is y), and the sampling period for both the ideal A/D and ideal D/A is T>0. For your answers to the various parts below, be sure to include appropriate units, where applicable. a) Suppose that x(t)-5. Determine all numerical values of T such that y(t)-x(t). Justifv your answer. b) Now, suppose that x) 2cos(2t fit)+4cos(2/Tt ft), where fi-100Hz and 6 500 Hz. Determine all numerical values of T such that y(t)-x(t). Justify your answer. Finally, suppose that x(t)-2cos(2m fit) +4 cos(2mft), i-100Hz, f 500Hz, and output y(0) has the form c) y() Acos(2ms), where A 0 is the output peak value. First, determine the numerical T value such that the output (1) satisfies the above form, and then determine the positive numerical peak output value A. Show your work.