document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156951>Question 1156951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line tangent to the curve at the point defined by the given value of t.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=16sint ALIGN=MIDDLE  ALT=\"x=16sint\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4cost ALIGN=MIDDLE  ALT=\"y=4cost\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=pi%2F4 ALIGN=MIDDLE  ALT=\"t=pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780026 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line tangent to the curve at the point defined by the given value of t.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=16sint ALIGN=MIDDLE  ALT=\"x=16sint\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4cost ALIGN=MIDDLE  ALT=\"y=4cost\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=pi%2F4 ALIGN=MIDDLE  ALT=\"t=pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=16sint ALIGN=MIDDLE  ALT=\"x=16sint\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> @ pi/4 = 8sqrt(2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+4cost ALIGN=MIDDLE  ALT=\"y=+4cost\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> @ pi/4 = 2sqrt(2)\r<BR>\n" );
document.write( "\n" );
document.write( "dx/dt = 16cos(t) ---> @ pi/4 = 8sqrt(2)<BR>\n" );
document.write( "dy/dt = -4sin(t) ---> @ pi/4 = -2sqrt(2)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "dy/dx = -sin(t)/(4cos(t)) = -tan(t)/4<BR>\n" );
document.write( "@pi/4:  dy/dx = -1/4<BR>\n" );
document.write( "============<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+2sqrt%282%29+=+%28-1%2F4%29%2A%28x+-+8sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"y+-+2sqrt%282%29+=+%28-1%2F4%29%2A%28x+-+8sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+2sqrt%282%29+=+%28-x%2F4%29+%2B+2sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"y+-+2sqrt%282%29+=+%28-x%2F4%29+%2B+2sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-x%2F4%29+%2B+4sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28-x%2F4%29+%2B+4sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );