This preview shows page 1. Sign up to view the full content.
Unformatted text preview: namely 2. To see why, note that since  sin  1 for all , we have  2 sin ( x 2 )  =  2   sin ( x 2 )  2 1 = 2 . In the exercises you will be asked to nd values of x such that 2 sin ( x 2 ) reaches the maximum value 2 and the minimum value 2. Thus, the amplitude is indeed 2. Note: This curve is still sinusoidal despite not being periodic, since the general shape is still that of a sine wave, albeit one with variable cycles . So far in our examples we have been able to determine the amplitudes of sinusoidal curves fairly easily. This will not always be the case. 2 This graph was created using Gnuplot, an opensource graphing program which is freely available at http:// gnuplot.info . See Appendix B for a brief tutorial on how to use Gnuplot....
View
Full
Document
 Fall '11
 Dr.Cheun
 Calculus

Click to edit the document details