The flow of blood from an artery into a small capillary is given by the formula

where c is a positive constant, x is the diameter of the capillary, y is the pressure in the artery, and z is the pressure in the capillary. What function gives the rate of change of blood flow with respect to capillary pressure, assuming fixed arterial pressure and capillary diameter? Is this rate increasing or decreasing?

Transcribed Image Text:

F(x, y, z) = CTX² 4 √y - z cm³/sec