Meterology The normal monthly high temperatures (in degrees Fahrenheit) for Erie

Chapter 4, Problem 79

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Meterology The normal monthly high temperatures (in degrees Fahrenheit) for Erie, Pennsylvania are approximated by and the normal monthly low temperatures are approximated by where is the time (in months), with corresponding to January (see figure). (Source: National Oceanic and Atmospheric Administration) (a) What is the period of each function? (b) During what part of the year is the difference between the normal high and normal low temperatures greatest? When is it smallest? (c) The sun is northernmost in the sky around June 21, but the graph shows the warmest temperatures at a later date. Approximate the lag time of the temperatures relative to the position of the sun. 8

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