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  3. 7. the depth of water in a bay changes due to the

7. The depth of water in a bay changes due to the tide. On one particular...

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Basic Math

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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