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 \(\frac{dV}{dt}and\frac{dP}{dt}\).

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