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In: Math

The rate at which a machine operator's efficiency, E(t) (expressed as a percentage), changes with respect...

The rate at which a machine operator's efficiency, E(t) (expressed as a percentage), changes with respect to time t is given by

dE/dt=35−16t

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 hours is 80% that is, E(2)=80.

Operator's efficiency function E(t)=

(B) What is the operator's efficiency after 77 hours?

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