A bacteria colony has a mass that is getting tripled every week. When the experiment first...

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A bacteria colony has a mass that is getting tripled every week. When the experiment first started, scientists observed that the mass of the bacteria is 30g. [4 marks] a. What is the mass of the bacteria in 56 days? b. How fast is the mass of the bacteria changing with time when the mass of the bacteria is at 21.87 kg? Consider the following function f(x) = eln(4x) + ln(e4x). Simplify it and then take the derivative. After that, Take the derivative and then simplify your expression. Show that you get the same answer. State the properties and the general rules you use for simplifying. A bacteria colony has a mass that is getting tripled every week. When the experiment first started, scientists observed that the mass of the bacteria is 30g. [4 marks] a. What is the mass of the bacteria in 56 days? b. How fast is the mass of the bacteria changing with time when the mass of the bacteria is at 21.87 kg? Consider the following function f(x) = eln(4x) + ln(e4x). Simplify it and then take the derivative. After that, Take the derivative and then simplify your expression. Show that you get the same answer. State the properties and the general rules you use for simplifying.