A cylindrical water tank contains
2,000 cubic inches of clean water.
Antonio purchased 5 cyli...
Mathematics, 12.02.2021 08:50 tsumugiisama
A cylindrical water tank contains
2,000 cubic inches of clean water.
Antonio purchased 5 cylindrical
water bottles with a diameter of
2.5 inches & a height of 6 inches.
If he used the tank to fully fill all
of the water bottles, would he have
enough water in the tank? How
much water would he have left?
Answers: 2
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If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) β p(x) x a'(x) = xp'(x) β p(x) x2 a'(x) = p'(x) β p(x) x a'(x) = xp'(x) β p'(x) x2 a'(x) = p'(x) β xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 β a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) β xp(x) > 0 p'(x) β xp(x) < 0 xp'(x) β p'(x) > 0 xp'(x) β p(x) < 0 xp'(x) β p(x) > 0
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