In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0. Part A What are the independent and dependent variables? Part B Determine these key features of the function that models the tide: amplitude period frequency midline vertical shift phase shift Part C Create a trigonometric function that models the ocean tide for a period of 12 hours. Part E What is the height of the tide after 93 hours?
In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0. Part A What are the independent and dependent variables? Part B Determine these key features of the function that models the tide: amplitude period frequency midline vertical shift phase shift Part C Create a trigonometric function that models the ocean tide for a period of 12 hours. Part E What is the height of the tide after 93 hours?
In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0. Part A What are the independent and dependent variables? Part B Determine these key features of the function that models the tide: amplitude period frequency midline vertical shift phase shift Part C Create a trigonometric function that models the ocean tide for a period of 12 hours. Part E What is the height of the tide after 93 hours?
In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0.
Part A
What are the independent and dependent variables?
Part B
Determine these key features of the function that models the tide:
amplitude
period
frequency
midline
vertical shift
phase shift
Part C
Create a trigonometric function that models the ocean tide for a period of 12 hours.
Part E
What is the height of the tide after 93 hours?
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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