Question: (20 points) Bacteria Growth.(a) During a fermentation experiment, the population P (t)(in millions per mL)of bacteria Lactobacillus plantarum after t hours in a malt medium

(20 points) Bacteria Growth.(a) During a fermentation experiment, the population P (t)(in millions per mL)of bacteria Lactobacillus plantarum after t hours in a malt medium satisfied thedifferential equationdPdt =0.4P(1 P12,500).Initially, 9 million bacteria per mL were present.(i) Determine the number of bacteria per mL after 7 hours.(ii) Determine when 900 million bacteria per mL will be present.

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