a.
To find: A sinusoidal model for the tide depth
a.
Answer to Problem 31E
Explanation of Solution
Given information:
The low tide occurs at midnight and is at
Calculation:
As per the given information −
The low tide occurs at midnight and is at
Step 1: Find the maximum and minimum value.
Here, maximum value is
Step 2: Identify the vertical shift
The value of
Step 3: Find the amplitude and period.
Function goes from minimum to maximum in
Also at
Step
Hence, desired model function is
b.
To find: All the time when low and high tide occurs in
b.
Answer to Problem 31E
Low tide occurs at midnight,
Similarly, high tide occurs at
Explanation of Solution
Given information:
Same as part
Calculation:
From part
Below is the function graph for a
From above graph it can be observed that low tide occurs at midnight,
Similarly, high tide occurs at
c.
To find: The relationship between graph from part
c.
Explanation of Solution
Given information:
Same as part
Calculation:
From part
Below is the function graph for a
When
Chapter 9 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
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