3 9. The relative viscosity of a fluid, a dimensionless quantity denoted by v, varies with tem- perature, T, (measured in degrees K) according to a relation of the form 1000B In (v) = A+ T where A and B are fluid-specific constants. With this in mind, suppose we warm up a fluid so that the rate of change of temperature with time is dT/dt = 10 K/s, at what rate does the relative viscosity, v, change with time when v = es with A = -7 and B = 1 K