Question

Q1. A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number of bacteria is given approximately by the following equation. Use the equation to answer parts (A) through (D). N(t) = 900 + 24t^2 - t^3, 0 ≤ t ≤ 16 (A) When is the rate of growth, N'(t), increasing and decreasing? (B) Find the inflection points for the graph of N. (C) Sketch the graphs of N and N' on the same coordinate system. (D) What is the maximum rate of growth?

          Q1. A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number of bacteria is given approximately by the following equation. Use the equation to answer parts (A) through (D).

N(t) = 900 + 24t^2 - t^3, 0 ≤ t ≤ 16

(A) When is the rate of growth, N'(t), increasing and decreasing?
(B) Find the inflection points for the graph of N.
(C) Sketch the graphs of N and N' on the same coordinate system.
(D) What is the maximum rate of growth?

Added by Jill D.

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