Posted by nico on Sunday, November 25, 2012 at 2:30pm.
A 12,000 liter tank filled to capacity at t=0 drains at rate r(t), measured in liters per hour, where r is defined as piecewise function:
r(t)={ (600t)/(t+3), [0,5]
{1000e^(0.2t), (5,infinity)
Is r continuous at t=5? Show work that lead to you answer.

calculus  Steve, Sunday, November 25, 2012 at 2:47pm
at t=5,
600t/(t+3) = 3000/8 = 375
1000e^(.2t) = 1000/e = 367.8
Actually, the computation isn't really necessary, since r(t) is rational at t=5, and e^x is irrational for any rational x.

calculus  nico, Sunday, November 25, 2012 at 3:39pm
what does your answer mean exactly?

calculus  Steve, Sunday, November 25, 2012 at 8:27pm
it means that the two piecewise functions don't have the same value at t=5, so r(t) cannot be continuous.
Answer This Question
Related Questions
 CalculusHelp Please  Find a function f(x), perhaps a piecewise function that ...
 Calculus  A tank contains 2920 L of pure water. A solution that contains 001 kg...
 Math  a rectangular tank with a square base of side 60 centimeters and a height...
 Calculus  A function f(x) is said to have a removable discontinuity at x=a if: ...
 Calculus  A function f(x) is said to have a removable discontinuity at x=a if: ...
 math  In a tank, there is 100 liter of water before starting the taps. If each ...
 biostatistics  Suppose we want to design a new placebocontrolled trial to ...
 maths  A water tank has the shape of a rectangular prism of base 50 cm2. This ...
 Maths  A water tank has the shape of a rectangular prism of base 50 cm2. This ...
 Calculus  Two 100gallon tanks initially contain pure water. Brine containing 2...
More Related Questions