document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=310301>Question 310301</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the cubic polynomial which takes the following values y(0) = 1, y(1) = 0, y(2) = 1 and y(3) = 10 . Hence obtain the value of y(0.5). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221862 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=221862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the cubic polynomial which takes the following values y(0) = 1, y(1) = 0, y(2) = 1 and y(3) = 10 . Hence obtain the value of y(0.5).<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Procedure:<BR>\n" );
document.write( "Cubic form: y = ax^3 + bx^2 + cx + d<BR>\n" );
document.write( "---<BR>\n" );
document.write( "You need to determine a, b, c, and d.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "You are given 4 points and can generate 4 equations<BR>\n" );
document.write( "such as:<BR>\n" );
document.write( "y(3) = 10 gives you equation <BR>\n" );
document.write( "10 = a(3)^3 + b(3)^2 + c(3) + d<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y(2) = 1 gives you equation<BR>\n" );
document.write( "1 = a(2)^3 + b(2)^2 + c(2) + d<BR>\n" );
document.write( "...<BR>\n" );
document.write( "etc.<BR>\n" );
document.write( "====<BR>\n" );
document.write( "So, having the 4 equations you can solve for<BR>\n" );
document.write( "a, b, c, d<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
document.write( "============================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );