The cost of producing x units of a product is modeled by . Find the minimum average cost analytically. Round your answer to two decimal places.
?

A. ?400.00 dollars per unit
B. ?381.19 dollars per unit
C. 374.43? dollars per unit
D. 376.66? dollars per unit
E. ?374.53 dollars per unit


Answer: C

Mathematics

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Find the domain and graph the function.g(x) = 1 - 2x - x2

A. D: (-?, ?)

B. D: (-?, 2]

C. D: (-?, ?)

D. D: (-?, ?)

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Solve the problem.When light travels from one medium to another-from air to water, for instance-it changes direction. (This is why a pencil, partially submerged in water, looks as though it is bent.) The angle of incidence ?i is the angle in the first medium; the angle of refraction ?r is the second medium. (See illustration.) Each medium has an index of refraction-ni and nr, respectively-which can be found in tables. Snell's law relates these quantities in the formula ni sin?i = nr sin ?rSolving for ?r, we obtain ?r = sin-1 Find ?r for fused quartz (ni = 1.46), ethyl alcohol (nr = 1.36), and ?i = 8.5°. 

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Mathematics

The number of viewers of a television series introduced several years ago is approximated by the function , where N(t) (measured in millions) denotes the number of weekly viewers of the series in the t th week. Find the rate of increase of the weekly audience at the end of week 12. ?

A. 13.439 million/wk B. 3.360 million/wk C. 0.529 million/wk D. 0.132 million/wk E. 25.398 million/wk

Mathematics

Find all solutions if . Round your answer to the nearest tenth. ? 

A. 27.6°, 92.4°, 151.3°, 218.2°, 267.6°, 324.6° B. 28.8°, 90.3°, 147.6°, 212.4°, 270.8°, 332.4° C. 27.6°, 92.4°, 147.6°, 212.4°, 267.6°, 332.4 D. 27.6°, 90.3°, 151.3°, 212.4°, 267.6°, 332.4° E. 28.8°, 92.4°, 147.6°, 218.2°, 270.8°, 332.4°

Mathematics