Solve the problem.Suppose c(x) = x3 - 20x2 + 20,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.

A. 10 items
B. 11 items
C. 12 items
D. 9 items


Answer: A

Mathematics

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Find the mass of the wire that lies along the curve r and has density ?.r(t) = (3 cos t)i + (3 sin t)j + 3tk, 0 ? t ? 2?; ? = 10

A. 60? units
B. 20? units
C. 180? units
D. 6? units

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Solve for the indicated variable.d = rt for r

A. r = dt
B. r = 
C. r = d - t
D. r = 

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Select the curve represented by the parametric equations. ? Curtate cycloid: ?

A. ?


B. ?


C. ?


D. ?


E. ?


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Give the domain and range of the function.

A. Domain (-?, ?) ; Range [0, ?) B. Domain (-?, 3] ; Range [0, ?) C. Domain (-?, 3) ? (3, ?) ; Range (-?, 0) ? (0, ?) D. Domain [0, ?) ; Range (-?, 3]

Mathematics