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Chapter 5
Section 5.2, Extension of Exercise 79 (page 462)
Let 
and 
(a) Use graphs and tables to decide whether
(b) Find a value for h so that the graph of 
appears to be a sinusoid. Give a convincing argument that 
is a sinusoid.
(c) Discuss the error in the approximation 
determined by the graph in (b).
Section 5.3, Extension of Exercise 69 (page 470)
Express each trig function of 
as a trig function of 
.
Section 5.4, Extension of Exercise 63 (page 477)
Go to the Puerto Vallarta, Jalisco, Mexico web site http://www.allaboutpuertovallarta.com/. Click on "Puerto Vallarta Weather," and then click on "Average Temp. Chart." Make a table for high temperature (use the mid point of the range) verses the 12 months of a year. Do the same for the low temperatures.
(a) Find a sine regression equation for the
high temperature and overlay its graph on a
scatter plot of the data. Is it a good fit?
(b) Find a sine regression equation for the low temperature and
overlay its graph on a
scatter plot of the data. Is it a good fit?
(c) Why might a sine regression curve be a good fit?