(a) Find all the complex numbers that satisfy z= 42(1 + i). Write your answers in...

Transcribed Image Text:

(a) Find all the complex numbers that satisfy z³= 4√2(1 + i). Write your answers in the exponential form. [3 marks] 8 (b) Calculate (1 + √3i)³. Write your answers in the exponential form. [3 marks] (c) If w = u + iv, z = x+iy and w = eiz, find u and v in terms of x and y. [3 marks] (d) The figures in the following table give the average weight (in kg) of an aircraft component for the years 2000, 2001, 2002 and 2003. Estimate the weight of the aircraft component in 2005. Year (x) Weight (y) 2000 45 2001 43 2002 40 2003 35 [11 marks] Ref: ME20214G74-1 (a) Find all the complex numbers that satisfy z³= 4√2(1 + i). Write your answers in the exponential form. [3 marks] 8 (b) Calculate (1 + √3i)³. Write your answers in the exponential form. [3 marks] (c) If w = u + iv, z = x+iy and w = eiz, find u and v in terms of x and y. [3 marks] (d) The figures in the following table give the average weight (in kg) of an aircraft component for the years 2000, 2001, 2002 and 2003. Estimate the weight of the aircraft component in 2005. Year (x) Weight (y) 2000 45 2001 43 2002 40 2003 35 [11 marks] Ref: ME20214G74-1

Answer rating: 100% (QA)

a Find all the complex numbers that satisfy z3 421i Write your answers in the exponential form 3 mar... View the full answer