(a)[3]
Solve the equation $iw^2=(2-2i)^2$ without using a calculator.
(b(i))[2]
Sketch an Argand diagram to show the region $R$, made up of the points representing the complex numbers $z$ for which $|z-4-4i|\leq 2$.
(b(ii))[6]
For the complex numbers shown by points in the region $R$, it is given that $p\leq|z|\leq q$ and $\alpha\leq\arg z\leq\beta$. Find the values of $p$, $q$, $\alpha$ and $\beta$, giving answers correct to 3 significant figures.