Tide Problem Suppose that you are on the beach on December 25th and notice high tide occurs at 1:00 pm with a depth of 1.6 meters. You then return at 7:00 in the evening and notice it is low tide at 0.4 meters. cosine function that represents the depth as a function of time in hours that has elapsed since 12:00 midnight at the beginning of December 25th. Assume that the depth varies sinusoidally with time. Find a Draw the graph to represent this situation. Remember (t-0 is represents midnight)

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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Determine the following characteristics of the sinusoidal function:
Amplitude =
Period =
hours
Sinusoidal axis: y =
Write a sine function that models the following problem. Use exact values.
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E
Transcribed Image Text:Determine the following characteristics of the sinusoidal function: Amplitude = Period = hours Sinusoidal axis: y = Write a sine function that models the following problem. Use exact values. Submit Question E
Tide Problem
Suppose that you are on the beach on December 25th and notice high tide occurs at 1:00 pm with a depth
of 1.6 meters. You then return at 7:00 in the evening and notice it is low tide at 0.4 meters.
cosine function that represents the depth as a function of time in hours that has elapsed since 12:00
midnight at the beginning of December 25th. Assume that the depth varies sinusoidally with time.
Find a
Draw the graph to represent this situation. Remember (t-0 is represents midnight)
21
19
18
+7
16
15
14
13
12
0.9
08
07
06
05
04
03
02
01
10
12
14
16
18
20
Transcribed Image Text:Tide Problem Suppose that you are on the beach on December 25th and notice high tide occurs at 1:00 pm with a depth of 1.6 meters. You then return at 7:00 in the evening and notice it is low tide at 0.4 meters. cosine function that represents the depth as a function of time in hours that has elapsed since 12:00 midnight at the beginning of December 25th. Assume that the depth varies sinusoidally with time. Find a Draw the graph to represent this situation. Remember (t-0 is represents midnight) 21 19 18 +7 16 15 14 13 12 0.9 08 07 06 05 04 03 02 01 10 12 14 16 18 20
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