During materials testing your workshop manager has discovered that the coolant used in the materials testing workshop is susceptible to bacterial growth governed by the relationship below:
dM/dt = M/3t
where M = is the number of bacteria per cubic millimetre of coolant and t is time in days. The coolant is supplied with bacteria of 2 per cubic millimetre present, that is M = 2 when t=0.
You will model this growth by using integration. It is recommended that the coolant is replaced when M reaches 50. How often should the manager ensure that the coolant is replaced?
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