document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049104>Question 1049104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a time of t seconds, a particle moves a distance of s meters from its starting point; where s=4*t^2+3.<BR>\n" );
document.write( "a) Find the average velocity between t=1 and t=1+h if:<BR>\n" );
document.write( "I) h=0.1, II) h=0.01, III) h=0.001.<BR>\n" );
document.write( "b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t=1\r<BR>\n" );
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document.write( "Your answer should consist of four values, three for (a) and one for (b) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664673 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=664673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "a) I)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  s(1)\ =\ 4(1)^2\ +\ 3\ =\ 7\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  s(1.1)\ =\ 4(1.1)^2\ +\ 3\ =\ 7.84\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{7.84\ -\ 7}{0.1}\ =\ 8.4\">\r<BR>\n" );
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document.write( "Do the other two the same way.\r<BR>\n" );
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document.write( "For part B, you should notice that the result is getting closer to some limit.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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