Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be modeled by the production function . Find the number of hours before the rate of production is maximized. That is, find the point of diminishing returns.
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A.
B.
C.
D.
E.


Answer: B

Mathematics

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Find the center of mass of the wire that lies along the curve r and has density ?.r(t) = (6 cos 3t)i +(6 sin 3t) j + 18tk, 0 ? t ? 2?; ?(x, y, z) = 1(1 + sin 3t cos 3t)

A.
B.
C.
D.

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Calculate.

A.
B.
C.
D. 3

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Solve the problem.Using the given conditions, obtain a slope field and graph the particular solution over the specified interval. Then find the general solution of the differential equation.y' = y(2 - lny), y(0) = ;0 ? x ? 4, 0 ? y ? 3

What will be an ideal response?

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Divide.(x4 + 8x2 + 9) ÷ (x2 + 1)

A. x2 + 7 +  
B. x2 + 7
C. x2 + 7 +  
D. x2 + 7x + 1

Mathematics