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SOLVED:The relative rate of change of a differentiable function y=f(x) is given by (100-f^'(x))/(f(x)) %. One model for population growth is a Gompertz growth function, given by P(x)=a e^-b-e^-a where a, b, and c are constants. a. Find the relative rate of change formula for the generic Gompertz function. b. Use a. to find the relative rate of change of a population in x=20 months when a=204, b=0.0198, and c=0.15 c. Briefly interpret what the result of b. means.
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