Question: A basin under consideration for a tidal barrage power installation has an area that grows quadratically with height z, A(z) = A 0 z 2

A basin under consideration for a tidal barrage power installation has an area that grows quadratically with height z, A(z) = A₀z²/h², where h is the difference between high and low tide. Calculate the maximum power that could be extracted

a) if the full basin is emptied at low tide,

b) if the empty basin is filled at high tide.

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