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
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