document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=416950>Question 416950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this problem.<BR>\n" );
document.write( "1) As a science project, Anwar monitored the content of carbon monoxide outside his house in the city over several days. He found that it reached a maximum of about 30 ppm (parts per million) at 6:00 P.M., and a minimum of 10 ppm at 6:00 A.M.<BR>\n" );
document.write( "a) Model the concentration of carbon monoxide, C, in parts per million, as a function of time, t, in hours. Use a sinusoidal function. </SPAN>\n" );
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document.write( "1) As a science project, Anwar monitored the content of carbon monoxide outside his house in the city over several days. He found that it reached a maximum of about 30 ppm (parts per million) at 6:00 P.M., and a minimum of 10 ppm at 6:00 A.M.<BR>\n" );
document.write( "a) Model the concentration of carbon monoxide, C, in parts per million, as a function of time, t, in hours. Use a sinusoidal function.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "amplitude = (30-10)/2 = 10<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Period = 24 hrs<BR>\n" );
document.write( "So, (2pi)/b = 24<BR>\n" );
document.write( "b = (1/12)pi<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Phase shift = ?<BR>\n" );
document.write( "The day begins at 12:00PM which is 6hrs before max.<BR>\n" );
document.write( "So, -c/b = 6 hrs<BR>\n" );
document.write( "So, -c/[1/12pi] = 6<BR>\n" );
document.write( "-c = (1/2)pi<BR>\n" );
document.write( "c = -(pi/2)<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = 10sin[(2pi/9)x-(pi/2)]+20<BR>\n" );
document.write( "----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-6%2C6%2C-5%2C70%2C10sin%28%282pi%2F9%29x-%28pi%2F2%29%29%2B20%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-6%2C6%2C-5%2C70%2C10sin%28%282pi%2F9%29x-%28pi%2F2%29%29%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );