7. The depth of water in a bay changes due to the tide. On one particular day, the depth can be modeled by D 6 cos t) + 7, where t is hours since midnight, and D is depth in metres. a) Calculate the depth of the water at midnight.

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7. The depth of water in a bay changes due to the tide. On one particular day, the
depth can be modeled by D = 6 cos (t) + 7, where t is hours since midnight, and
D 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 level rising fastest?
Transcribed Image Text:7. The depth of water in a bay changes due to the tide. On one particular day, the depth can be modeled by D = 6 cos (t) + 7, where t is hours since midnight, and D 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 level rising fastest?
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