document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040748>Question 1040748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello amazing tutors, can you help me solve this question? Thank youu\r<BR>\n" );
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document.write( "The equation of a curve is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+sqrt%285x+%2B+4%29+ ALIGN=MIDDLE  ALT=\"+y+=+sqrt%285x+%2B+4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(i) Calculate the gradient of the curve at the point where x = 1<BR>\n" );
document.write( "(ii) A point with coordinates (x, y) moves along the curve in such a way that the rate of increase of x has the constant value 0.03 units per second. Find the rate of increase of y at the instant when x = 1<BR>\n" );
document.write( "(iii) Find the area enclosed by the curve, the x-axis, the y-axis and the line x = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655641 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%285x%2B4%29 ALIGN=MIDDLE  ALT=\"y+=+sqrt%285x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx+=+5%2F%282sqrt%285x%2B4%29%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx+=+5%2F%282sqrt%285x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%281%29%2Fdx+=+5%2F%282sqrt%285%2A1%2B4%29%29+=+5%2F%282%2A3%29+=+5%2F6 ALIGN=MIDDLE  ALT=\"dy%281%29%2Fdx+=+5%2F%282sqrt%285%2A1%2B4%29%29+=+5%2F%282%2A3%29+=+5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(ii)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%285x%2B4%29 ALIGN=MIDDLE  ALT=\"y+=+sqrt%285x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt+=+%285%2A%28dx%2Fdt%29%29%2F%282sqrt%285x%2B4%29%29 ALIGN=MIDDLE  ALT=\"dy%2Fdt+=+%285%2A%28dx%2Fdt%29%29%2F%282sqrt%285x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%28x=1%29%2Fdt+=+%285%2A0.03%29%2F%282sqrt%285%2A1%2B4%29%29+=+0.075%2F3+=+0.025 ALIGN=MIDDLE  ALT=\"dy%28x=1%29%2Fdt+=+%285%2A0.03%29%2F%282sqrt%285%2A1%2B4%29%29+=+0.075%2F3+=+0.025\"   DISABLED_style= \"max-width:90%; height:auto;\" > unit per second.\r<BR>\n" );
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document.write( "(iii) Area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%285x%2B4%29%2C+dx%2C+-4%2F5%2C1%29 ALIGN=MIDDLE  ALT=\"int%28sqrt%285x%2B4%29%2C+dx%2C+-4%2F5%2C1%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=%281%2F5%29int%28sqrt%285x%2B4%29%2C+d%285x%2B4%29%2C+-4%2F5%2C1%29 ALIGN=MIDDLE  ALT=\"%281%2F5%29int%28sqrt%285x%2B4%29%2C+d%285x%2B4%29%2C+-4%2F5%2C1%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=%281%2F5%29%282%2F3%29%28%285x%2B4%29%5E%283%2F2%29%29%5E1%5B-4%2F5%5D ALIGN=MIDDLE  ALT=\"%281%2F5%29%282%2F3%29%28%285x%2B4%29%5E%283%2F2%29%29%5E1%5B-4%2F5%5D\"   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%2F15%29%289%5E%283%2F2%29+-+0%5E%283%2F2%29%29+=+%282%2F15%29%2A27+=+18%2F5 ALIGN=MIDDLE  ALT=\"%282%2F15%29%289%5E%283%2F2%29+-+0%5E%283%2F2%29%29+=+%282%2F15%29%2A27+=+18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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