a.
Find the amount of daylight hours for the middle of each month.
a.
Answer to Problem 16E
Explanation of Solution
Given information:
The table contains sunrise and sunset time;
Calculation:
The table shows the amount of daylight hours for the middle of each month.
b.
Find the amplitude of sinusoidal function that model the daylight hours.
b.
Answer to Problem 16E
Explanation of Solution
Given information:
The table contains sunrise and sunset time;
Calculation:
Consider the table,
Amplitude is the half of difference between highest and lowest temperature,
Hence amplitude is
c.
Find the vertical shift of sinusoidal function that model the day light hours.
c.
Answer to Problem 16E
Explanation of Solution
Given information:
The table contains sunrise and sunset time;
Calculation:
The vertical shift is average of highest and lowest temperature,
Hence, the vertical shift of sinusoidal function that model the day light hours is
d.
Find the period of sinusoidal function that model the day light hours.
d.
Answer to Problem 16E
Explanation of Solution
Given information:
The table contains sunrise and sunset time;
Calculation:
The period is
Hence, period is
e.
Write the sinusoidal function that model the day light hours.
e.
Answer to Problem 16E
Explanation of Solution
Given information:
The table contains sunrise and sunset time;
Calculation:
The standard form of sinusoidal function is,
Substitute the given values,
Hence,
Chapter 6 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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