Question: The rate at which a machine operator's efficiency, E(expressed as a percentage), changes with respect to time t is given byStartFraction dE Over dt EndFractiondEdtequals=30

The rate at which a machine operator's efficiency, E(expressed as a percentage), changes with respect to time t is given byStartFraction dE Over dt EndFractiondEdtequals=30 minus 8 t308t,where t is the number of hours the operator has been at work.a)Find E(t), given that the operator's efficiency after working 2 hr is7676%;that is,E(2)equals=7676.b)Use the answer in part(a) to find the operator's efficiency after 3 hr; after 5 hr.

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