Friday

August 29, 2014

August 29, 2014

Posted by **nico** on Sunday, November 25, 2012 at 2:30pm.

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 2:47pmat 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 3:39pmwhat does your answer mean exactly?

- calculus -
**Steve**, Sunday, November 25, 2012 at 8:27pmit means that the two piecewise functions don't have the same value at t=5, so r(t) cannot be continuous.

**Related Questions**

Calculus - A tank contains 2920 L of pure water. A solution that contains 001 kg...

maths - A water tank has the shape of a rectangular prism of base 50 cm2. This ...

Calculus - Two 100-gallon tanks initially contain pure water. Brine containing 2...

Calculus - Fuel is flowing into a storage tank which can be filled to a depth of...

Calculus - Fuel is flowing into a storage tank which can be filled to a depth of...

MATH..-HELP ME PLEASE GUYS..THIS DUE TMORROW!!!!.. - Suppose tank A consist of ...

calculus - Water is being filled into a water tank at 22 liters/second. The base...

calculus - Water is being filled into a water tank at 22 liters/second. The base...

algebra - The number of gallons of water, y , in a tank after x hours may be ...

algebra - The number of gallons of water, y , in a tank after x hours may be ...