document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028629>Question 1028629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The power (in Watts) from an engine is represented by the equation : P = 100t^1.4 + 6t , where t is the time.?<BR>\n" );
document.write( "in Seconds. \r<BR>\n" );
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document.write( "1: Draw the graph that represents power against time for this engine. \r<BR>\n" );
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document.write( "2.show the area on the graph which represents the energy converted between 5s and 15s \r<BR>\n" );
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document.write( "3. show, using summation how you would gain an approximation for the energy \r<BR>\n" );
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document.write( "4. using intergration, evaluate the exact energy between 5s and 15s </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643720 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=cx1.JPG\">.<BR>\n" );
document.write( "2. Area of the trapezoid marked by the black dashed boundaries and the graph.<BR>\n" );
document.write( "3. You could just calculate the area of the trapezoid or using a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dx ALIGN=MIDDLE  ALT=\"dx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, make a summation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=sum%28P%28x%29%2Adx%2Cx=1%2CN%29 ALIGN=MIDDLE  ALT=\"A=sum%28P%28x%29%2Adx%2Cx=1%2CN%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28P%28t%29%2Cdt%2C5%2C15%29=100%28t%5E%281.4%2B1%29%29%2F%282.4%29%2B3t%5E2%2BC ALIGN=MIDDLE  ALT=\"int%28P%28t%29%2Cdt%2C5%2C15%29=100%28t%5E%281.4%2B1%29%29%2F%282.4%29%2B3t%5E2%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28P%28t%29%2Cdt%2C5%2C15%29=%28125%2F3%29%2815%5E%282.4%29-5%5E%282.4%29%29%2B3%2815%5E2-5%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28P%28t%29%2Cdt%2C5%2C15%29=%28125%2F3%29%28664.69-47.59%29%2B3%28225-25%29 ALIGN=MIDDLE  ALT=\"int%28P%28t%29%2Cdt%2C5%2C15%29=%28125%2F3%29%28664.69-47.59%29%2B3%28225-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28P%28t%29%2Cdt%2C5%2C15%29=%28125%2F3%29%28617.1%29%2B3%28200%29 ALIGN=MIDDLE  ALT=\"int%28P%28t%29%2Cdt%2C5%2C15%29=%28125%2F3%29%28617.1%29%2B3%28200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28P%28t%29%2Cdt%2C5%2C15%29=25712.5%2B600 ALIGN=MIDDLE  ALT=\"int%28P%28t%29%2Cdt%2C5%2C15%29=25712.5%2B600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28P%28t%29%2Cdt%2C5%2C15%29=26312.5 ALIGN=MIDDLE  ALT=\"int%28P%28t%29%2Cdt%2C5%2C15%29=26312.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Watt-s ALIGN=MIDDLE  ALT=\"Watt-s\"   DISABLED_style= \"max-width:90%; height:auto;\" >or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=J ALIGN=MIDDLE  ALT=\"J\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As a comparison, the area of the trapezoid would yield,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29%2810%29%284431.265%2B951.827%29 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29%2810%29%284431.265%2B951.827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=27515.5 ALIGN=MIDDLE  ALT=\"A=27515.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, a summation using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dx=0.5 ALIGN=MIDDLE  ALT=\"dx=0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > would yield,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=27061.3 ALIGN=MIDDLE  ALT=\"A=27061.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Even closer.<BR>\n" );
document.write( " </SPAN>\n" );
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