Find the sensitivity corresponding to x equals to two

Reference no: EM131009006

1. The population of mice in Alfred is given by P(t) = 2188e^3t, where t is in years since 1986. The rate of change of the population is given by the formula __________mice/yr. In year 1998 the population changes by approximately _________ mice. In 1998 0 mice Died, which means that __________mice were bom that year.

2. If R denotes the reaction of the body to some stimulus of strengths x, the \sensitivity S la defined to be the rate of change of ins reaction with respect to x. A particular example is that when the brightness x of a light source is increased, the eye reacts by decreasing ins area R of the pupil. The expenmente formula

R = (44 + 20x⁴) / (1 + 0.3x⁴)

can be used to model the dependence of R on x when R is measured in square millimeters ands Is measured in appropriate units of brightness. Find the sensitivity corresponding to x = 2.

Reference no: EM131009006

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