# Function constants and what they mean!

• November 5th 2013, 11:44 AM
aprilrocks92
Function constants and what they mean!
I am having problems interpreting a function. A container is supplied with water at a rate given by the equation in attachment 1 (photo1).

Which denotes a function of the time t, where V and k are positive constants. What does the constant V denote in this function?

Does V denote the initial volume of the water body at time t = 0?
• November 5th 2013, 11:48 AM
SlipEternal
Re: Function constants and what they mean!
$V(0) = \dfrac{1}{\sqrt{2}} V_0 e^{-k(0)}\sqrt{1+e^{-k(0)}} = \dfrac{1}{\sqrt{2}} V_0 \sqrt{1+1} = V_0$

So, yes, $V_0$ is the initial volume.
• November 5th 2013, 03:49 PM
aprilrocks92
Re: Function constants and what they mean!
Thank you. I have been trying to integrate this expression, but unsure of what to do when given several constants. Any advice on how to approach this?