document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=640628>Question 640628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y= 400 cos 5 pi x<BR>\n" );
document.write( " what is the period? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403350 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=403350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> recall:\r<BR>\n" );
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document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > in both of the graph types\r<BR>\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%2A+sin+bx ALIGN=MIDDLE  ALT=\"y+=+a%2A+sin+bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a+%2Acos+bx ALIGN=MIDDLE  ALT=\"y+=+a+%2Acos+bx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "affects the period (or wavelength) of the graph. As b gets larger, the period decreases.<BR>\n" );
document.write( "The period is the distance (or time) that it takes for the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sine ALIGN=MIDDLE  ALT=\"sine\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosine ALIGN=MIDDLE  ALT=\"cosine\"   DISABLED_style= \"max-width:90%; height:auto;\" > curve to begin repeating again.\r<BR>\n" );
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document.write( "The period is given by:\r<BR>\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Period=2pi%2Fb ALIGN=MIDDLE  ALT=\"Period=2pi%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, the period in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+400+%2Acos+5%2Api%2Ax ALIGN=MIDDLE  ALT=\"y=+400+%2Acos+5%2Api%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=400 ALIGN=MIDDLE  ALT=\"a=400\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5%2Api ALIGN=MIDDLE  ALT=\"b=5%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Period=2%2Api%2F5%2Api ALIGN=MIDDLE  ALT=\"Period=2%2Api%2F5%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Period=2%2Across%28pi%29%2F5%2Across%28pi%29 ALIGN=MIDDLE  ALT=\"Period=2%2Across%28pi%29%2F5%2Across%28pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Period=2%2F5 ALIGN=MIDDLE  ALT=\"Period=2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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