Posted by Michelle on .
A vessel is being filled at a variable and the volume of liquid in the vessel at any time t is given by V = A( 1- e^-kt) V
a) Show that dV/dt = k(A-V)
b) if one quarter of the vessel is filled in 5 minutes, what fraction is filled in the next 5 minutes?
c) show that lim (x-> infinite) = A.