2. The percentage of the part of the moon facing earth that is i function. 100% corresponds to a full moon, and 0% corresp based on the data presented, relating the percentage of the m days passed (T) since the start of data collection. Data was Time passed (days) 0 2 5 7 8 Illumination (%) 95 100 89 72 61 13 14 15 11 5 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a) what is the amplitude of this function? b) what is the period of this function? c) determine a sine or cosine function that would model this data.
2. The percentage of the part of the moon facing earth that is illuminated can be modeled by a sinusoidal
function. 100% corresponds to a full moon, and 0% corresponds to a new moon. Create a sinusoidal function
based on the data presented, relating the percentage of the moon illuminated (I) as a function of the number of
days passed (T) since the start of data collection. Data was only collected on nights without cloud cover.
7
8
Time passed (days) 0 2 5
Illumination (%) 95 100 89 72 61 11 5 1 5 50 99 100 99 61
13 14 15 18 23 29 30 31 36 40 42
19 5
44
0
Transcribed Image Text:2. The percentage of the part of the moon facing earth that is illuminated can be modeled by a sinusoidal function. 100% corresponds to a full moon, and 0% corresponds to a new moon. Create a sinusoidal function based on the data presented, relating the percentage of the moon illuminated (I) as a function of the number of days passed (T) since the start of data collection. Data was only collected on nights without cloud cover. 7 8 Time passed (days) 0 2 5 Illumination (%) 95 100 89 72 61 11 5 1 5 50 99 100 99 61 13 14 15 18 23 29 30 31 36 40 42 19 5 44 0
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