1) Live cultures known as Probiotics are bacteria which are consumed by humans and are beneficial to the human body. These bacteria are often cultivated in laboratories. In a laboratory the mass in micrograms \( (\mu g) \) of a bacteria, after \( t \) minutes is given by the equation \( m(t)=800+160 t-10 t^{2} \). a) What was the mass of the bacteria at the start of cultivation? b) What is the mass of the bacteria 5 after minutes? c) At what rate is the mass of the bacteria increasing after 5 minutes? d) What is the maximum mass the bacteria can reach?
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So, m(0)=800+160*0-10*0^2=800 μg. Show more…
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