A person :1; inches tall has a pulse rate approximately given by the function y = 560331/2. The instantaneous rate of change of the pulse rate for a person that is: (A) 35 inches tall = if, (B) 64 inches tall = y; The population of a slowly growing bacterial colony after 25 hours is given by p(t) = 5t2 + 231'. + 150. Find the growth rate after 4 hours. Answer: f, If R denotes the reaction of the body to some stimulus of strength :17, the sensitivity S is dened to be the rate of change of the reaction with respect to 3:. A particular example is that when the brightness a: of a light source is increased, the eye reacts by 40 + 24$0'4 on a: when R is measured in sq mm and a: is measured in the appropriate units of brightness. decreasing the area R of the pupil. The experimental formula R(:c) = has been used to model the dependence of R Find the sensitivity. R' (in) =