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Answer:
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+When the graph is below the x-axis, the barnacle is underwater.
+The graph dips below the x-axis three times between x = 0 and x = 20, so the barnacle goes underwater three times.
+Every time the barnacle goes underwater, the boat travels pi meters (one half the circumference of the wheel) before the barnacle comes back up, so the barnacle covers 3pi meters underwater between x = 0 and x = 20
The number of times the barnacle went beneath the water level if the boat traveled a distance of 20 m is 3.
Given to us
- y = sin(x)
Now, observe the image given below,
we know that the function is a sin function and for a sin function the graph is in the form of a wave, therefore, each time the graph goes below the x-axis the barnacle is under the water, while above the water when the graph is above the x-axis.
What is the height for a Sine function?
For a sine function, the general equation can be written as y = A Sin(x), where A shows us the maximum and the minimum of the wave.
A.) Height of the Barnacle
Height of the Barnacle
y = A sin x
y = 1 sin x
Comparing the general equation with the equation given the height of the barnacle is 1.
B.) Number of times the barnacle went beneath the water level if the boat traveled a distance of 20 m.
Number of times
If we observe the plotted function below, we will find out that the graph dipped three times below the x-axis till x = 20.
therefore, the number of times the barnacle went beneath the water level if the boat traveled a distance of 20 m is 3.
Hence, the number of times the barnacle went beneath the water level if the boat traveled a distance of 20 m is 3.
Learn more about Sine function:
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