Suppose that you are on the beach on December 25 and notice that the high tide occurs at 2:00 pm with a depth of 1.6 meters. You then return at 7:00 in the evening and notice it is low tide at 0.2 meters. Since tides vary sinusoidally over time, find a cosine function that represents the depth of the tide as a function of time x measured in hours after 12:00 AM on December 25th. 1a) Draw the graph to represent this situation. Remember that x = 0 represents 12 AM, the beginning of December 25. 1b) Determine the following characteristics of the cosine function from the graph and the given information: > Maximum Value = _____m ? > Minimum Value = _____m ? > Period T = ____hours ? > Horizontal shift (for cosine function) =____hours ? 1c) Now compute the relevant parameters for the equation: > Amplitude A = _____m ? > Average value D = _____m ? > Frequency B = ______ ?
Suppose that you are on the beach on December 25 and notice that the high tide occurs at 2:00 pm with a depth of 1.6 meters. You then return at 7:00 in the evening and notice it is low tide at 0.2 meters. Since tides vary sinusoidally over time, find a cosine function that represents the depth of the tide as a function of time x measured in hours after 12:00 AM on December 25th.
1a) Draw the graph to represent this situation. Remember that x = 0 represents 12 AM, the beginning of December 25.
1b) Determine the following characteristics of the cosine function from the graph and the given information:
> Maximum Value = _____m ?
> Minimum Value = _____m ?
> Period T = ____hours ?
> Horizontal shift (for cosine function) =____hours ?
1c) Now compute the relevant parameters for the equation:
> Amplitude A = _____m ?
> Average value D = _____m ?
> Frequency B = ______ ?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
