Modeling with Trigonometry Application
2921 Assignment
2921 Assignment
Goals:
 Use a given model to determine the implied given through the function itself
 Describe behavior of the given model with points
 Use intervals to describe specific behavior from a model
2921 HWK
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Lakeside Town Population
Question 1:

8000 people 
Question 2:
What is the maximum population for this town? When does this maximum occur? 
13000 People

Question 3:
By how much does the town’s population change over the course of the year? 
Range 10000 people

Question 4:
What is the minimum population for this town? When does this minimum occur? 
3000 people

Question 5
Over what months does the population exceed 7000? (use intervals) 
x E [0,1.385) U (6.615,12 ]

Question 6:
Over what months does the population fall below 4000? (use intervals) 
x E (2.771, 5.229)

2921 HWK
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Tourist Attraction Population
Question 7:
What is the “average” number of visitors for the tourist attraction for the entire year during any one month? 
4.1 Million

Question 8:
What is the maximum number of visitors for this tourist attraction? When does this maximum occur over the course of the threeyear study? 

Question 9:
By how much does the number of visitors change over the course of the threeyear study? 
4.6 million range [1.8, 6.4]

Question 10:
What is the minimum number of visitors for this tourist attraction? When does this minimum occur over the course of the threeyear study? 
1.8 million or 1,800,000

Question 11:
Over what months does the population exceed 6000000? (use intervals) 
NOTE: 6,000,000 = 6.0 on this scale

Question 12:
Over what months does the population fall below 5.2 million? (use intervals) 
x E (4.048, 11.95) U (16.048, 23.95) U (28.048, 35.95)

2921 HWK
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Voltage Problem
Question a)
What is the period of the current in Canada? 
1/60 of a second 
Question b)
Graph and Label Voltage Function 
y axis = Voltage

Question c)
When is the voltage at 110V (the amount required to turn on the heat lamp) for the first time? 
0.0019 seconds 
2921 HWK
Videos and solutions
Lasso Problem
Question a)
What is the highest point reached by the knot? 
6.5 feet above the ground 
Question b)
What is the lowest point reached by the knot? 
0.5 feet above the ground 
Question c)
What is the period? 
1.2 seconds or 6/5 seconds 
Question d)
Find the height of the know after 25 seconds 
2 feet above the ground 