Search for question
Question

:) The complex number z is given byi f. z=d+i f 1. 1) Write z in both its polar and exponential forms. 2. 2) The nth roots of the complex

number given by r e&'are \mathrm{Cr} e^{k(1) *+,} \mathrm{D}^{\prime} \text { for } k=0,1, \ldots, n-1 Calculate the fifth roots of z, giving your answers in Cartesian form. 3. 3) Plot all five of the roots calculated in 2) on an Argand diagram,and describe the shape on which they lie.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8