John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height of 14 meters above the bottom of the pool. At t-9 seconds, John reaches a minimum height of 2 meters above the bottom of the pool. 1) Assuming that John's height in the wave tank follows a sinusoidal pattern, sketch a graph of John's height on the coordinate grid below. 15 14 13 12- 11 10 9 8 7 6 5 4 3 2 1 6 8 2) What is the amplitude of the function? -1 10 10 12 12 = 33 13 14 15 16 16 17 7 18 18 19 19 20 20 3) What is the midline/vertical shift of the function? 4) What is its period? 5) What is the phase shift for a cosine function? What is the phase shift for a sine function? What is the cosine equation for this function? What is the sine equation for this function?
John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height of 14 meters above the bottom of the pool. At t-9 seconds, John reaches a minimum height of 2 meters above the bottom of the pool. 1) Assuming that John's height in the wave tank follows a sinusoidal pattern, sketch a graph of John's height on the coordinate grid below. 15 14 13 12- 11 10 9 8 7 6 5 4 3 2 1 6 8 2) What is the amplitude of the function? -1 10 10 12 12 = 33 13 14 15 16 16 17 7 18 18 19 19 20 20 3) What is the midline/vertical shift of the function? 4) What is its period? 5) What is the phase shift for a cosine function? What is the phase shift for a sine function? What is the cosine equation for this function? What is the sine equation for this function?
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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Transcribed Image Text:John is floating on a tube in a wave tank. Att 1 second, John goes over a wave at a
maximum height of 14 meters above the bottom of the pool. Att 9 seconds, John reaches
a minimum height of 2 meters above the bottom of the pool.
1) Assuming that John's height in the wave tank follows a sinusoidal pattern, sketch a graph
of John's height on the coordinate grid below.
15
14
13
12-
11-
-10
09
8
7
6
-5
4-
3
2
1
2
6 7
2) What is the amplitude of the function?
00
8
10
12
22
33
15
15 16
7
17 18 19 20 21
3) What is the midline/vertical shift of the function?
4) What is its period?
5) What is the phase shift for a cosine function?
6) What is the phase shift for a sine function?
7) What is the cosine equation for this function? What is the sine equation for this function?
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