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Real World Examples of Periodic Functions
http://finance.yahoo.com/echarts?s=DTV+Interactive#symbol=dtv;range=1y;compare=;indicator=volume;charttype=area;crosshair=on;ohlcvalues=0;logscale=off;source=;
-look at the 6 month and/or the 1 year graph of the stock
-notice the high points of the graph and try to estimate the period of the graph(use the volume right under the graph to help you find the high points of the stock)
-using other things you know about periodic functions try and see if you can identify other parts of the graph
-try and come up with an equation using your predicted period
-find other examples of cyclical stocks
Graph of Direct Tv
The water depth in a harbor is 20m at high tide and 10m at low tide. One cycle is completed approximately every 12 hours.
Find an equation for the water depth as a function of the time, "t" hours, after low tide.
answer: y = 5sin30x (t-3pi/2) +15
Tidal waves and tides are the result of the gravitational pull of the moon and sun. Although tides are not consistent around the globe, they always cause a rise and fall in sea level. A tidal wave results in an extreme discrepancy in water level between high tide and low tide, and that change often occurs in a very short period of time. More specifically, tidal waves are common in narrow bays or rivers along the coast. The intensity of a tidal wave varies depending on its location. However, more often than not, tidal ways are not visible, unless one were to watch the change in tide for multiple hours. Although the two are often confused, tidal waves and tsunamis are very different. A tsunami is the result of a shift in the tectonic plates, in the ocean, otherwise known as an underwater earthquake. This causes a massive surge of water onto land. However, tidal waves are not known to be nearly as physically destructive.
By Alison, Nancy and Clay
So here's your biorhythms problem!
Using the biorhythms equations, graph your own biorhythm for the next month or so. After that, you learn that you're bipolar, which results in your behaviors occurring 2 days earlier then they normally would. Please take that information into account with a new graph. Finally, as a result, your doctor prescribes some medication, but you take too much which results in your biorhythms experiencing increases and decreases, 2x their original amplitude.