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I'm kind of clueless, apart from its a min/max thing. The question is as follows:

The water levels in a dock follow (approximately) a 12-hour cycle, and are modeled by the equation $D = A+ B\sin30t$, where $D$ metres is the depth of water in the dock, $A$ and $B$ are positive constants, and $t$ is the time in hours after 8 a.m.

Given that the greatest and least depths of water in the dock are 7.80m and 2.20m respectively, find the value of A and the value of B

Find the depth of water in the dock at noon, giving your answer correct to the nearest cm.

Thanks in advance.

  • 0
    What are the min and max values of the sin function. Using this information, can you express the min and max values that D can take on as functions of A and B? Can you then express A and B in terms of the min and max values that D takes on?2012-04-27

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