document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173711>Question 1173711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 75 degrees at midnight and the high and low temperature during the day are 85 and 65 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.\r<BR>\n" );
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document.write( "D(t)=<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799031 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=799031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The temperature at time t=0 (midnight)is 75 degrees, and the temperature<BR>\n" );
document.write( "oscillates over a range of +/- 10 degrees during a 24 hour period. <BR>\n" );
document.write( "Thus the amplitude of oscillation is 10, and the midline temperature is 75.<BR>\n" );
document.write( "A complete cycle of 2pi takes place over 24 h, so the \"angular frequency\" is<BR>\n" );
document.write( "w = 2pi/24 = pi/12<BR>\n" );
document.write( "So the equation is D(t) = 10sin((pi/12)*t) + 75 </SPAN>\n" );
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