document.write( "Question 868034: The volume of grains in a silo at a particular time (measured in hours) is given
\n" ); document.write( "by V (t) = 4t(3-t) m3. Find the rate of change of the volume of grains in the
\n" ); document.write( "silo from first principles (using the definition of the rate of change). \n" ); document.write( "

Algebra.Com's Answer #523322 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"V%28t%29=12t-4t%5E2\"$
\n" ); document.write( " $\"V%28t%2Bdt%29=12%28t%2Bdt%29-4%28t%2Bdt%29%5E2\"$
\n" ); document.write( "You have a mistake here,
\n" ); document.write( " $\"V%28t%2Bdt%29=12%28t%2Bdt%29-4%28t%5E2%2B2tdt%2Bdt%5E2%29\"$
\n" ); document.write( " $\"V%28t%2Bdt%29=12t%2B12dt-4t%5E2-8tdt-4dt%5E2\"$
\n" ); document.write( " $\"V%28t%2Bdt%29-V%28t%29=12dt-8tdt-4dt%5E2\"$
\n" ); document.write( " $\"%28V%28t%2Bdt%29-V%28t%29%29%2Fdt=12-8t-4dt\"$
\n" ); document.write( " $\"dV%2Fdt=lim%28t-%3E0%2C%28V%28t%2Bdt%29-V%28t%29%29%2Fdt%29=12-8t\"$ \n" ); document.write( "

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