7. The depth of water in a bay changes due to the tide. On one
particular...
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7. The depth of water in a bay changes due to the tide. On oneparticular day, the depth can be modeled by ? = 6 cos (2Ï€/11) + 7,where ? is hours since midnight, and ? is depth in metres.
a) Calculate the depth of the water at midnight.
b) At what rate is the depth changing at 4:00 a.m.?
c) At what time, between midnight and noon is the water levelrising fastest?
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