Suppose that the length of time between consecutive high tides is 12 hours and 26 minutes. According to the National Oceanic and Atmospheric Administration, on a particular day in a city, high tide occurred at 12:26 AM (0.43 hours) and low tide occurred at 7:08 AM (7.13 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.92 feet and the height of the water at low tide was 0.04 foot. Complete parts (a) through (c). ....

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that the length of time between consecutive high tides is 12 hours and 26 minutes. According to the National
Oceanic and Atmospheric Administration, on a particular day in a city, high tide occurred at 12:26 AM (0.43 hours) and
low tide occurred at 7:08 AM (7.13 hours). Water heights are measured as the amounts above or below the mean lower low
water. The height of the water at high tide was 5.92 feet and the height of the water at low tide was 0.04 foot. Complete parts
(a) through (c).
(a) Approximately when will the next high tide occur?
The next high tide will occur at 12:52 PM.
(b) Find a sinusoidal function of the form y = A sin (ox - $) + B that models the data.
y =
=sin(x++□
(Simplify your answers. Round to the nearest thousandth as needed.)
66
Transcribed Image Text:Suppose that the length of time between consecutive high tides is 12 hours and 26 minutes. According to the National Oceanic and Atmospheric Administration, on a particular day in a city, high tide occurred at 12:26 AM (0.43 hours) and low tide occurred at 7:08 AM (7.13 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.92 feet and the height of the water at low tide was 0.04 foot. Complete parts (a) through (c). (a) Approximately when will the next high tide occur? The next high tide will occur at 12:52 PM. (b) Find a sinusoidal function of the form y = A sin (ox - $) + B that models the data. y = =sin(x++□ (Simplify your answers. Round to the nearest thousandth as needed.) 66
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