Math Problem Statement

the growth rate at t=20

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Exponential Growth
Logistic Growth
Derivatives

Formulas

Exponential Growth: f(t) = P e^{rt}
Logistic Growth: f(t) = L / (1 + e^{-k(t - t_0)})
Linear Growth: f(t) = mt + b

Theorems

Fundamental Theorem of Calculus
Chain Rule for Derivatives

Suitable Grade Level

Grades 11-12