Question 1: Calculate the inverse CTFT of the following function. 5(jw) + 30 (jw+2)(jw+5)(jw + 10) X(w) = Question 2: Evaluate the Discrete Time Fourier series representation for the following signal x[n] = cos Question 3: Use the tables of transforms and properties to find the DTFTs of the following signal. x[n] = бл π -n+· 17 3 = [sin(+7)] + [sin(((158))] * πη (Note: The symbol represents the convolution)

Q1: A sequential network has one input (X) and two outputs (Z, and Z₂). An output Z1 Z2 =10 occurs every time the input sequence 1011 is completed. An output Z1 Z2-01 occurs every time the input sequence 0101 is completed. Otherwise Z1 Z2=00. Find Moore state diagram with minimum number of states: a) When overlap is allowed. b) When overlap is not allowed. I need to solve the question step by step and explain each state in understandable handwriting.