(b) (c) Determine the number of roots for function F(z) = 3z6 - 412z + 5z...

 

Transcribed Image Text:

(b) (c) Determine the number of roots for function F(z) = 3z6 - 412z² + 5z + 3 inside region 2 ≤|Z| ≤ 4. [4 marks] Prove that the function t4e-2zt dt is analytic for all the points z for which Rez > 0. Find an analytic continuation of f(z) into Rez < 0. [6 marks] (b) (c) Determine the number of roots for function F(z) = 3z6 - 412z² + 5z + 3 inside region 2 ≤|Z| ≤ 4. [4 marks] Prove that the function t4e-2zt dt is analytic for all the points z for which Rez > 0. Find an analytic continuation of f(z) into Rez < 0. [6 marks]

Answer rating: 100% (QA)

4a The function Fz 3z6 412z2 5z 3 is a polynomial function of degree 6 which means tha... View the full answer