8. (The argument principle and Rouché's theorem) (a) Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial p(2) = 2³ + 2² + 9z + 4. (b) Show that the equation e- - 2:2 = 1...

Do part b in detail

Extracted text: 8. (The argument principle and Rouché's theorem) (a) Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial p(2) = 2³ + 2² + 9z + 4. (b) Show that the equation e- - 2:2 = 1 has exactly two solutions in the disk |z| < 1,="" and="" that="" they="" are="" both="">