document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040254>Question 1040254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the formula for the temperature T in degrees Fahrenheit of a city t months <BR>\n" );
document.write( "into the year is given by T = 50 + 25 sin(&#960;/6t) then how do you find the average temperature and the maximum and minimum predicted over the year?\r<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 #655077 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Average temperature = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F12%29int%28%2850+%2B+25sin%28%28pi%2At%29%2F6%29%29%2C+dt%2C0%2C12%29=+%0D%0A%281%2F12%29%2A%2850t+-+%28150%2Fpi%29cos%28%28pi%2At%29%2F6%29%29%5B0%5D%5E12+ ALIGN=MIDDLE   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=%281%2F12%29%2850%2A12+-+%28150%2Fpi%29%2Acos%282%2Api%29+-+0+%2B+%28150%2Fpi%29%2Acos0%29+=+50 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > degrees Fahrenheit.\r<BR>\n" );
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document.write( "The minimum temperature happens when t = 9: \r<BR>\n" );
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document.write( "T = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50+%2B+25sin%28%283%2Api%29%2F2%29+=+50+-+25+=+25 ALIGN=MIDDLE  ALT=\"50+%2B+25sin%28%283%2Api%29%2F2%29+=+50+-+25+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees Fahrenheit.\r<BR>\n" );
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document.write( "The maximum temperature happens when t = 3: \r<BR>\n" );
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document.write( "T = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50+%2B+25sin%28%28pi%29%2F2%29+=+50+%2B+25+=+75 ALIGN=MIDDLE  ALT=\"50+%2B+25sin%28%28pi%29%2F2%29+=+50+%2B+25+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees Fahrenheit.\r<BR>\n" );
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document.write( "Note that, the average temperature is also the average of the minimum and maximum values, due to the cyclical nature of the temperature T.\r<BR>\n" );
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