3. At the end of a dock, high tide of 14 m is recorded at 9:00 a.m. Low tide of 6 m is recorded at 3:00 p.m. A sinusoidal function can model the water depth versus time.

a) Construct a model for the water depth using a cosine function, where time is measured in hours past high tide.

b) Construct a model for the water depth using a sine function, where time is measured in hours past high tide.

c) Construct a model for the water depth using a sine function, where time is measured in hours past low tide.

d) Construct a model for the water depth using a cosine function, where time is measured in hours past low tide.

e) Compare your models. Which is the simplest representation if time is referenced to high tide? low tide? Explain why there is a difference.

a) Construct a model for the water depth using a cosine function, where time is measured in hours past high tide.

b) Construct a model for the water depth using a sine function, where time is measured in hours past high tide.

c) Construct a model for the water depth using a sine function, where time is measured in hours past low tide.

d) Construct a model for the water depth using a cosine function, where time is measured in hours past low tide.

e) Compare your models. Which is the simplest representation if time is referenced to high tide? low tide? Explain why there is a difference.

Please help, if possible link images of the graphs. Thank you so much.

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