Question: One model of the cardiovascular system relates V(t), the stroke volume of blood in the aorta at a time t during systole (the contraction phase), to the pressure P(t) in the aorta during systole by the equation $V(t)=[{{C}_{1}}+{{C}_{2}}P(t)](\frac{3{{t}^{2}}}{{{T}^{2}}}-\frac{2{{t}^{3}}}{{{T}^{3}}})$, where ${{C}_{1}}$ and ${{C}_{2}}$ are positive constants and T is the (fixed)time length of the systole phase. Find a relationship between the rates $\frac{dV}{dt}and\frac{dP}{dt}$.