A curve has equation $$\(y=3 \cos 2 x+2\)$$ for $$\(0 \leqslant x \leqslant \pi\)$$. By considering the straight line $$\(y=k x\)$$, where $$\(k\)$$ is a constant, state the number of solutions of the equation $$\(3 \cos 2 x+2=k x\)$$ for $$\(0 \leqslant x \leqslant \pi\)$$ in each of the following cases. $$\(k=3\)$$ ............................................................................................................................................ ............................................................................................................................................

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