document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129339>Question 1129339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a softball player swings a bat, the amount of energy E(t), in joules, that is transferred to the bat can be approximated by the function<BR>\n" );
document.write( "E(t) = &#8722;279.67t2 + 82.86t<BR>\n" );
document.write( "where 0 &#8804; t &#8804; 0.3 and t is measured in seconds. According to this model, what is the maximum energy of the bat? Round to the nearest tenth of a joule.____joule </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745942 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=745942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28t%29 ALIGN=MIDDLE  ALT=\"E%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is just a parabola. I'm sure you know how to find the vertex, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28t%29 ALIGN=MIDDLE  ALT=\"E%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a maximum.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28t%29+=+-279.67t%5E2+%2B+82.86t ALIGN=MIDDLE  ALT=\"E%28t%29+=+-279.67t%5E2+%2B+82.86t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where 0 &#8804; t &#8804; 0.3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28t%29+=+-279.67t%5E2+%2B+82.86t ALIGN=MIDDLE  ALT=\"E%28t%29+=+-279.67t%5E2+%2B+82.86t\"   DISABLED_style= \"max-width:90%; height:auto;\" >......complete square to get vertex form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28t%29+=+-279.67%28t%5E2+%2B%28+82.86%2F-279.67%29t%2Bb%5E2%29-279.67%28-b%5E2%29 ALIGN=MIDDLE  ALT=\"E%28t%29+=+-279.67%28t%5E2+%2B%28+82.86%2F-279.67%29t%2Bb%5E2%29-279.67%28-b%5E2%29\"   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=E%28t%29+=+-279.67%28t%5E2+-0.2962778t%2Bb%5E2%29-279.67%28-b%5E2%29 ALIGN=MIDDLE  ALT=\"E%28t%29+=+-279.67%28t%5E2+-0.2962778t%2Bb%5E2%29-279.67%28-b%5E2%29\"   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=b=0.2962778%2F2=0.148139 ALIGN=MIDDLE  ALT=\"b=0.2962778%2F2=0.148139\"   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=E%28t%29+=+-279.67%28t%5E2+-0.2962778t%2B0.148139%5E2%29-279.67%28-0.148139%5E2%29 ALIGN=MIDDLE  ALT=\"E%28t%29+=+-279.67%28t%5E2+-0.2962778t%2B0.148139%5E2%29-279.67%28-0.148139%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28t%29+=+-279.67%28t+-0.148139%29%5E2%2B6.1374 ALIGN=MIDDLE  ALT=\"E%28t%29+=+-279.67%28t+-0.148139%29%5E2%2B6.1374\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "max ate vertex: (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28t%29 ALIGN=MIDDLE  ALT=\"E%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.148139 ALIGN=MIDDLE  ALT=\"0.148139\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.1374 ALIGN=MIDDLE  ALT=\"6.1374\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28t%29=6.1374 ALIGN=MIDDLE  ALT=\"E%28t%29=6.1374\"   DISABLED_style= \"max-width:90%; height:auto;\" >, round to the nearest tenth of a joule:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.1 ALIGN=MIDDLE  ALT=\"6.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > joule\r<BR>\n" );
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document.write( " </SPAN>\n" );
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