If denotes the reaction of the body to some stimulus of strength , the sensitivity is
Chapter 3, Problem 32(choose chapter or problem)
If denotes the reaction of the body to some stimulus of strength , the sensitivity is defined to be the rate of change of the reaction with respect to . A particular example is that x when the brightness of a light source is increased, the eyereacts by decreasing the area of the pupil. The experimentalformulahas been used to model the dependence of on when ismeasured in square millimeters and is measured in appropriateunits of brightness.(a) Find the sensitivity.; (b) Illustrate part (a) by graphing both and as functionsof . Comment on the values of and at low levels ofbrightness. Is this what you would expect?
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