(i)[2]
Find the modulus and the argument of $u$.
(ii)[2]
Show that $u^3 + 8 = 0$.
(iii)[4]
On a sketch of an Argand diagram, shade the set of points representing complex numbers $z$ that satisfy both inequalities $|z - u| \leq 2$ and $\operatorname{Re} z \geq 2$, where $\operatorname{Re} z$ is the real part of $z$.
(c(iii))[4]
On a sketch of an Argand diagram, shade the set of points representing complex numbers $z$ that satisfy both inequalities $|z - u| \leq 2$ and $\operatorname{Re} z \geq 2$, where $\operatorname{Re} z$ is the real part of $z$.