document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142314>Question 1142314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculus Question\r<BR>\n" );
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document.write( "Find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+D%5E132%5Bsin%287x%29%5D+ ALIGN=MIDDLE  ALT=\"+D%5E132%5Bsin%287x%29%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-7%5E132sin%287x%29+ ALIGN=MIDDLE  ALT=\"+-7%5E132sin%287x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%5E132sin%287x%29+ ALIGN=MIDDLE  ALT=\"+7%5E132sin%287x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-7%5E132cos%287x%29+ ALIGN=MIDDLE  ALT=\"+-7%5E132cos%287x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(d) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-7%5E132cos%287x%29+ ALIGN=MIDDLE  ALT=\"+-7%5E132cos%287x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(e) None of these are correct. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763045 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "NOTE: You have apparently shown the answer choices incorrectly, since choices c and d are identical....<br><BR>\n" );
document.write( "From the chain rule, it is clear that each derivative is going to produce a factor of 7.  So 7^132 is part of the answer.<br><BR>\n" );
document.write( "So the question is whether the 132nd derivative is sine or cosine, and whether it is positive or negative.<br><BR>\n" );
document.write( "The pattern of sine/cosine and positive/negative repeats in a cycle of 4:<br><BR>\n" );
document.write( "D(1) = cos<BR>\n" );
document.write( "D(2) = -sin<BR>\n" );
document.write( "D(3) = -cos<BR>\n" );
document.write( "D(4) = sin<BR>\n" );
document.write( "D(5) = cos<BR>\n" );
document.write( "D(6) = -sin<BR>\n" );
document.write( "...<br><BR>\n" );
document.write( "So which function and which sign does D(132) have?<BR>\n" );
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