find the COSINE FUNCTION. please make it accurate.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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find the COSINE FUNCTION. please make it accurate. 

y
38.0
37.5
37.0
36.5
t
25
5
10
15
20
35.5
35.0
Transcribed Image Text:y 38.0 37.5 37.0 36.5 t 25 5 10 15 20 35.5 35.0
37.9
37.8
37.7
37.6
37.5
37.4
37.3
37.2
37.1
37
36.9
36.8
36.7
36.6
36.5
36.4
36.3
36.2
36.1
36
3519 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Transcribed Image Text:37.9 37.8 37.7 37.6 37.5 37.4 37.3 37.2 37.1 37 36.9 36.8 36.7 36.6 36.5 36.4 36.3 36.2 36.1 36 3519 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Expert Solution
Solution:

The cosine function is of the form yt=acosωt-c+b

Obtain the amplitude a:

The maximum value is 37.4 and the minimum value is 36.6.

a=37.4-36.62=0.4

Thus, the amplitude a is 0.4.

Obtain the vertical shift b:

The maximum value is 37.4 and the minimum value is 36.6.

a=37.4+36.62=37

Thus, the vertical shift b is 37.

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9781305652231
Author:
R. David Gustafson, Jeff Hughes
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Cengage Learning