Mathematics: The rate at which an assembly line workers efficiency E (expressed as a percent) changes with respect to time t is given by E (t) = 75 - 6t, where t is the number of hours since the workers shift began. Assuming that E(1) = 92, find E(t).

The rate at which an assembly line workers efficiency

leslyvargas230

30.01.2022

By the fundamental theorem of calculus,

$E(t)=E(1)+\displaystyle\int_1^t E'(u)\,\mathrm du$

So we have

$E(t)=92+\displaystyle\int_1^t(75-6u)\,\mathrm du$

$E(t)=92+(75u-3u^2)\bigg|_1^t$

E(t)=20 + 75 t - 3 t^2

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Jalyn1060

29.09.2021

Step-by-step explanation:

√2 - √1/2=0.91421356237

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