document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180435>Question 1180435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of the region under the curve given by the function f(x) = 2x2 + 6 on the interval [0, b] is 36 square units, where b > 0.\r<BR>\n" );
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document.write( "The value of b is ?\r<BR>\n" );
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document.write( "a. 1<BR>\n" );
document.write( "b. 2<BR>\n" );
document.write( "c. 3<BR>\n" );
document.write( "d. 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810091 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area as a function of b is given by\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28%282x%5E2+%2B+6%29%2Cdx%2C0%2Cb%29=%282%2F3%29b%5E3%2B6b ALIGN=MIDDLE  ALT=\"int%28%282x%5E2+%2B+6%29%2Cdx%2C0%2Cb%29=%282%2F3%29b%5E3%2B6b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You want to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab+=+36 ALIGN=MIDDLE  ALT=\"a%2Ab+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29b%5E3+%2B6b+=+36 ALIGN=MIDDLE  ALT=\"%282%2F3%29b%5E3+%2B6b+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" >. . . . multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2+ ALIGN=MIDDLE  ALT=\"3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >to clear fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E3+%2B9b+-54+=+0 ALIGN=MIDDLE  ALT=\"b%5E3+%2B9b+-54+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > . . . .factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b+-+3%29+%28b%5E2+%2B+3b+%2B+18%29+=+0 ALIGN=MIDDLE  ALT=\"%28b+-+3%29+%28b%5E2+%2B+3b+%2B+18%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, this equation to have one real solution at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3 ALIGN=MIDDLE  ALT=\"b=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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