[问答题]
Consider the function
nst u:) 2ml/p fw+th6et*lj ;qs
abfjj:jzuwd:e h19t5*c ee3* f and g defined on the domain $0\lt x\lt 2 \pi$ by
$f(x)=4 \cos 2 x \text { and } g(x)=2-8 \cos x $.
The following diagram shows the graphs of y=f(x) and y=g(x) .
1. Find the x -coordinates of the points of intersection of the two graphs.
2. Find the exact area of the shaded region, giving your answer in the form $a \pi+b \sqrt{3}$ , where a, b $\in \mathbb{Q}$ .
At the points P and Q on the diagram, the gradients of the two graphs are equal.
3. Determine the y -coordinate of P on the graph of g .
