Question: (a) Find all the complex numbers that satisfy z= 42(1 + i). Write your answers in the exponential form. [3 marks] 8 (b) Calculate

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

(a) Find all the complex numbers that satisfy z= 42(1 + i). Write your answers in the exponential form. [3 marks] 8 (b) Calculate (1 + 3i). 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

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