Mathematics

Mathematics

Problem

A city’s population PP (in thousands of residents) is modeled as a differentiable function of time tt (in months). At t=12t=12, the first derivative is P′(12)=0P'(12)=0 and the second derivative is P′′(12)=−1.4  thousand residents per month2P''(12)=-1.4\;\text{thousand residents per month}^2. Explain what these two derivative values reveal about the population trend at 12 months.

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