SOLUTION: 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 a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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 a      Log On


   



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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is this a calculus problem?
If so:
+H+=+t%5E2+%2B+2t+
+H+' = +2t+%2B+2+
After 2 min:
+H+' = +2%2A2+%2B+2+
+H+' = +6+
The depth is changing at a rate of
6 cm/min after 2 minutes
--------------------------
Heres the equation and it's slope at +t=2+:
+graph%28+400%2C+400%2C+-10%2C10%2C-10%2C20%2C+x%5E2+%2B+2x%2C+6x+-+4+%29+