document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945874>Question 945874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the particular antiderivative that satisfies the following conditions: <BR>\n" );
document.write( "f''(x) = 12 x^3 - 2; \quad f(0) = 4, \quad f'(0) = -2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576985 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=576985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the particular antiderivative that satisfies the following conditions: <BR>\n" );
document.write( "f''(x) = 12 x^3 - 2; \quad f(0) = 4, \quad f'(0) = -2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "f'(x) = 3x^4 - 2x + C<BR>\n" );
document.write( "quad f'(0) = -2 --> C = -2  (not sure what the \"quad\" means)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f'(x) = 3x^4 - 2x - 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E5%2F5+-+x%5E2+-+2x+%2B+C ALIGN=MIDDLE  ALT=\"3x%5E5%2F5+-+x%5E2+-+2x+%2B+C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(0) = 4 --> C = 4<BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E5%2F5+-+x%5E2+-+2x+%2B+4 ALIGN=MIDDLE  ALT=\"3x%5E5%2F5+-+x%5E2+-+2x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );