At time t=0, a tank of height 2metres is completely filled with water. water then leaks from a whole in the side of the tank such that the depth of water in the tank, 'y' metres, after 't' hours satisfies the differential equation :
dy/dt = -kUnparseable latex formula:e^
^(-0.2t)where k is a positive constant
a)
find an expression for 'y' in terms of k and tgiven that 2 hours after being filled the depth of water in the tank is 1.6 metres,
b)
find the velue for k to 4 sig.figuresc) given also that the whole in the tank is 'h' centimetres above the base of the tank, show that 'h' = 79 to 2 sig.figures
for part a, i intergrated that dy/dt , then substituted the y and t values to work out k(for part b)
i think i did somethin wrong in the process thoh
in part C, im trying dy/dx =0, im not sure bout this thoh
could some1 show me how to do this qsn pliz