When a bactericide was added to a nutrient broth in which bacteria were growing, the bacterium population continued to grow for a while, but then stopped growing and began to decline The size of a population at time t (hours) was N(t) 10 5 t 3 1 1 25 10 6 t Find the time t at which the population reaches its maximum What is the maximum value of the bacterium population Present the asked for time t t with six digits after the decimal dot

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Question: . When a bactericide was added to a nutrient broth in which bacteria were growing, the bacterium population continued to grow for a while, but

. When a bactericide was added to a nutrient broth in which bacteria were growing, the bacterium population continued to grow for a while, but then stopped growing and began to decline. The size of a population at time t (hours) was N(t) = -10⁵t³ + 1.1*25*10⁶t.Find the time t at which the population reaches its maximum. What is the maximum value of the bacterium population? Present the asked-for time t = t^* with six digitsafter the decimal dot.

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