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. 8 Time passed (days) 0 2 5 Illumination (%) 95 100 89 72 61 a. What is the amplitude of this function? b. What is the period of this function? 13 14 15 18 23 29 11 5 1 5 50 99 30 31 36 40 100 99 61 19 42 44 5 0 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. 8 Time passed (days) 0 2 5 Illumination (%) 95 100 89 72 61 a. What is the amplitude of this function? b. What is the period of this function? 13 14 15 18 23 29 11 5 1 5 50 99 30 31 36 40 100 99 61 19 42 44 5 0 c. Determine a sine or cosine function that would model this data.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Pls help ASAP and pls show all steps and calculations.
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.
Time passed (days) 0 2 5 7 8
Illumination (%) 95 100 89 72 61
a. What is the amplitude of this function?
b. What is the period of this function?
13 14 15 18 23 29
11 5 1 5 50 99
C.
30 31 36
40 42
100 99 61 19 5 0
44
Determine a sine or cosine function that
would model this data.
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