Math Problem Statement
- The number N of bacteria in a culture after ‘t’ days is modeled by N=100 (1−(4/(t3+1)^2)) , find the rate of change of N with respect to ‘t’ when t = 0 and 1.
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Chain Rule
Rate of Change
Formulas
N(t) = 100 (1 - (4/(t^3 + 1)^2))
dN/dt = 2400t^2 (t^3 + 1)^{-3}
Theorems
Chain Rule
Quotient Rule
Suitable Grade Level
Undergraduate Calculus
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