Alongside is a land and sea profile where the \( \mathrm{x} \)-axis is sea level. The function \...

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Alongside is a land and sea profile where the \( \mathrm{x} \)-axis is sea level. The function \( y=\frac{1}{10} x(x-2)(x-3) \mathrm{km} \) gives the height of the land or sea bed relative to sea level.
(a) Find where the lake is located relative to the shore line of the sea.
(b) Find the deepest point of the lake and the depth at this point.
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