Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Question
Chapter 5, Problem 11PS
a.
To determine
Algebraically find the times at which the high and low tides occur.
a.
Expert Solution
Answer to Problem 11PS
Explanation of Solution
Given information:
The tide, or depth of the ocean near the shore, changes throughout the day. The water depth
where
Calculation:
Let us consider the tide, or depth of the ocean near the shore, changes throughout the day. The water depth
The low tides occur when the depth of the water is least. The value of
The maximum value of
Similarly we can calculate the high tides occur when the depth of the water is greatest. The value of
Hence, the times at which the high and low tides occur are
b.
To determine
If possible, algebraically find the time(s) at which the water depth is
b.
Expert Solution
Answer to Problem 11PS
There is no value of
Explanation of Solution
Given information: The tide, or depth of the ocean near the shore, changes throughout the day. The water depth
where
Calculation:
Since, the maximum value of
Hence, there is no value of
c.
To determine
Use a graphing utility to verify your results from parts (a) and (b).
c.
Expert Solution
Answer to Problem 11PS
Explanation of Solution
Given information: The tide, or depth of the ocean near the shore, changes throughout the day. The water depth
where
Calculation:
The above two parts can be verified from the plot given below for the depth of the water in the bay at different points of the time of the day.
The minimum of the graph represents the time instants where low tides occur and maximum of the graph represents the time instants where high tides occur.
From the given plot, we can see that the minimum value of the depth is
Hence, there are no time instants where the depth of the water is
Chapter 5 Solutions
Precalculus with Limits
Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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