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# Pre-Cal 40S March 12, 2009

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More on trigonometric modeling.

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### Pre-Cal 40S March 12, 2009

1. 1. The Mathematics of Tidal Waves Giant waves on the seafront at Seaham, County Durham by freefotouk
2. 2. At a sea port, the depth of the water, h meters, at time, t hours, during a certain day is given by this formula: (a) State the: (i) period (ii) amplitude (iii) phase shift. (b) What is the maximum depth of the water? When does it occur?
3. 3. (b) What is the maximum depth of the water? When does it occur?
4. 4. At a sea port, the depth of the water, h meters, at time, t hours, during a certain day is given by this formula: (a) State the: (i) period (ii) amplitude (iii) phase shift. (b) What is the maximum depth of the water? When does it occur?
5. 5. At a sea port, the depth of the water, h meters, at time, t hours, during a certain day is given by this formula: (c) Determine the depth of the water at 5:00 am and at 12:00 noon. (d) Determine one time when the water is 2.25 meters deep.
6. 6. At a sea port, the depth of the water, h meters, at time, t hours, during a certain day is given by this formula: (d) Determine one time when the water is 2.25 meters deep.