document.write( "Question 1096779: A tank is being filled at a variable rate. the depth of the water, H cm, at any time, t minutes, is described by the rule H = t2 + 2t. At what rate is the depth of water changing after 2 minutes? \n" ); document.write( "

Algebra.Com's Answer #711183 by josmiceli(19441) $\"\"$ $\"About$

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Is this a calculus problem?
\n" ); document.write( "If so:
\n" ); document.write( " $\"+H+=+t%5E2+%2B+2t+\"$
\n" ); document.write( " $\"+H+\"$ ' = $\"+2t+%2B+2+\"$
\n" ); document.write( "After 2 min:
\n" ); document.write( " $\"+H+\"$ ' = $\"+2%2A2+%2B+2+\"$
\n" ); document.write( " $\"+H+\"$ ' = $\"+6+\"$
\n" ); document.write( "The depth is changing at a rate of
\n" ); document.write( "6 cm/min after 2 minutes
\n" ); document.write( "--------------------------
\n" ); document.write( "Heres the equation and it's slope at $\"+t=2+\"$ :
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-10%2C10%2C-10%2C20%2C+x%5E2+%2B+2x%2C+6x+-+4+%29+\"$
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