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The depth H meters of water in Boston's harbor can be modeled by the function H(t)=asin(bt+c)+12, where a,b>0 and t is the time in hours after midnight on a particular day.
On this day, the minimum depth observed was 9.3 meters.
Determine the maximum observed depth.
The following table shows the depth of water at various times throughout the day.
Ocean tides, which are due to the orbit of the moon, have a period slightly greater than 12 hours.
Estimate the value of b and the value of c in radians, giving your answers to 1 significant figure.
The depth H meters of water in Boston's harbor can be modeled by the function H(t)=asin(bt+c)+12, where a,b>0 and t is the time in hours after midnight on a particular day.
On this day, the minimum depth observed was 9.3 meters.
Determine the maximum observed depth.
The following table shows the depth of water at various times throughout the day.
Ocean tides, which are due to the orbit of the moon, have a period slightly greater than 12 hours.
Estimate the value of b and the value of c in radians, giving your answers to 1 significant figure.