Hi, im having trouble with a "show" style question that forms part 1 of a multi part question, I have no problems with the rest if I take the "show" stage to be absolutly true. Some general guidance regarding the process would be appreciated. The question is as follows:
A spherical pill with volume V and surface area S is swallowed and slowly dissolves in the stomach. Assume that the rate of decrease in the volume V is directly proportional to the pill's surface area.
a)i)
Show dV/dt = -kV^2/3 , where K is the constant of proportionality and k > 0.
A spherical pill with volume V and surface area S is swallowed and slowly dissolves in the stomach. Assume that the rate of decrease in the volume V is directly proportional to the pill's surface area.
a)i)
Show dV/dt = -kV^2/3 , where K is the constant of proportionality and k > 0.