Sir,
I would like to ask for clarification regarding the equation below.
I was understanding the solution/derivation and I was stuck on this equation.
\(\displaystyle \begin{array}{ccc}\lim_{\Delta t\, \rightarrow\, 0}\, \dfrac{\left[N_{CV}\left(t_0\, +\, \Delta t\right)\, -\, N_{CV}\left(t_0\right)\right]}{\Delta t}\, =&\, \dfrac{\partial N_{CV}}{\partial t}\, =&\, \dfrac{\partial}{\partial t}\, \int_{CV}\, \eta \rho\, d\forall\\.&[1]&[2]\end{array}\)
As the limit approaches zero, why the equation on the left suddenly transformed to [1], then [2].
Let me also take this chance to ask if on what section in Calculus should I review so I could understand the said image.
Thanks for your help.
Regards,
Migs
I would like to ask for clarification regarding the equation below.
I was understanding the solution/derivation and I was stuck on this equation.
\(\displaystyle \begin{array}{ccc}\lim_{\Delta t\, \rightarrow\, 0}\, \dfrac{\left[N_{CV}\left(t_0\, +\, \Delta t\right)\, -\, N_{CV}\left(t_0\right)\right]}{\Delta t}\, =&\, \dfrac{\partial N_{CV}}{\partial t}\, =&\, \dfrac{\partial}{\partial t}\, \int_{CV}\, \eta \rho\, d\forall\\.&[1]&[2]\end{array}\)
As the limit approaches zero, why the equation on the left suddenly transformed to [1], then [2].
Let me also take this chance to ask if on what section in Calculus should I review so I could understand the said image.
Thanks for your help.
Regards,
Migs
Last edited by a moderator: