document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287534>Question 287534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a function f that satisfies the conditions. <BR>\n" );
document.write( "f ''(x) = x2,    f '(0) = 4,    f(0) = 2 \r<BR>\n" );
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document.write( "f (x) = ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208454 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=208454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f''(x) = x^2,   \r<BR>\n" );
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document.write( "f'(x) = (1/3)x^3+C..... f'(0)=4 ---> 4=(1/3)(0)^3+C ---> C=4 ----> f'(x)=(1/3)x^3+4\r<BR>\n" );
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document.write( "f(x) = (1/12)x^4+4x+D\r<BR>\n" );
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document.write( "2 = (1/12)(0)^4+4(0)+D\r<BR>\n" );
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document.write( "2 = 0+D\r<BR>\n" );
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document.write( "D = 2\r<BR>\n" );
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document.write( "Answer: f(x) = (1/12)x^4+4x+2 </SPAN>\n" );
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