The seniors at a high school are voting for where to go for their senior trip. They are deciding on Angel Falls (A), Bear Valley (B), Clear Canyon (C), or Dragon Cave (D). The results of the preferences are:
(CABD)
(ADBC)
(BDAC)
(DBCA)
(DBAC)
28
19
29
22
12
?
Determine who wins using the pairwise comparison method.
?

A. A
B. B
C. C
D. D
E. no winner


Answer: B

Mathematics

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Sketch D and g(D) from the description of D and change of variables x = u2 - v2, y = 2uv where D is the rectangle 0 ? u ? 1, 0 ? v ? 1 

A.

?

B.
?

C.
?

D.
?

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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = 3xy2i + 3x2yj + 6xyk ; D: the region cut from the solid cylinder x2 + y2 ? 9 by the planes z = 0 and 

A. 1,458?
B. 729?
C. 2,916?
D. ?

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Solve.Locate the centroid of a semicircular region.

A.  =  =  = a
B.  =  =  = a
C.  =  =  = a
D.  =  =  = a

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Find the inverse of the function.f(x) = x3 - 7

A. f-1(x) =  + 7
B. f-1(x) = 
C. Not a one-to-one function
D. f-1(x) = 

Mathematics