document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186315>Question 186315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP ME :) I did not know which topic to select for these questions :(\r<BR>\n" );
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document.write( "1) Find the slope of a line tangent to the curve of y= square root(3-8x)^1/3 at(-3,3). Use the derivative evaluation feature of a graphing calculator to check result.\r<BR>\n" );
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document.write( "2)The amount n (in g) of a compound formed during a chemical change is n=8t/[(2t^2)+3] , where t is the time (in s). Find dn/dt (derivative -I think) for t=4.0s. What is the meaning of the result???\r<BR>\n" );
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document.write( "3) Find the SECOND derivative of the function: y=square root 1-8x ??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139656 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=139656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Find the slope of a line tangent to the curve of y= square root(3-8x)^1/3 at(-3,3). Use the derivative evaluation feature of a graphing calculator to check result.<BR>\n" );
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document.write( "y' = (1/2)(3-8x)^(-1/2))*(1/3)(3-8x)^(-2/3)*(-8)<BR>\n" );
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document.write( "y'(-3) = (1/2)(3+24)^(-1/2))*(1/3)(27)^(-2/3)*-8<BR>\n" );
document.write( "etc.<BR>\n" );
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document.write( "2)The amount n (in g) of a compound formed during a chemical change is n=8t/[(2t^2)+3] , were t is the time (in s). Find dn/dt (derivative -I think) for t=4.0s. What is the meaning of the result???<BR>\n" );
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document.write( "dn/dt = [[2t^2+3][8] - [8t][4t]}/ [2t^2+3]^2<BR>\n" );
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document.write( "dn/dt is the rate at which n changes per t seconds<BR>\n" );
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document.write( "3) Find the SECOND derivative of the function: y=square root (1-8x) ???<BR>\n" );
document.write( "y' = (1/2)[(1-8x)^(-1/2)]<BR>\n" );
document.write( "= -4[(1-8x)^(-1/2)]<BR>\n" );
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document.write( "y'' = 4{(-1/2)(1-8x)^(-3/2)}<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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