Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Paper format. 16-Mex-A1, System Analysis and Control, a three-hour closed-book National Examination for which candidates may use an approved Casio or Sharp calculator. The cover page states that any four (4) of the printed questions constitute a complete paper, all of equal value; all six printed questions are worked here.
Reference texts. N.S. Nise, Control Systems Engineering, 8th ed. (Ch. 4 second-order time response; Ch. 6 stability & the Routh-Hurwitz criterion; Ch. 8 root locus; Ch. 10 frequency-response methods); K. Ogata, Modern Control Engineering, 5th ed. (Ch. 3 Laplace transform; Ch. 5 stability analysis; Ch. 6 root-locus method; Ch. 7 frequency-response analysis).