The depth of water in a port is modelled by the function d(t)=pcosqt+7.5, for 0t12, where t is the number of hours after high tide. At high tide, the depth is 9.7 metres. At low tide, which is 7 hours later, the depth is 5.3 metres

The depth of water in a port is modelled by the function d(t)=pcosqt+7.5, for 0t12, where t is the number of hours after high tide. At high tide, the depth is 9.7 metres. At low tide, which is 7 hours later, the depth is 5.3 metres

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Question

The depth of water in a port is modelled by the function d(t)=pcosqt+7.5, for 0t12,

where t

is the number of hours after high tide.

At high tide,

the depth is 9.7 metres.

At low tide,

which is 7 hours later, the depth is 5.3 metres.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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