Solve the problem.Find the center of mass of the region of density  bounded by the paraboloid   and the xy-plane.

A.  = 0,  = 0,  = 
B.  = 0,  = 0,  = 
C.  = 0,  = 0,  = 10
D.  = 0,  = 0,  = 5


Answer: A

Mathematics

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Find the extreme values of the function subject to the given constraint.  

A. Maximum: 1 at   minimum: -1 at  
B. Maximum: 9 at   minimum: -9 at  
C. Maximum: 1 at   minimum: -1 at  
D. Maximum: 8 at   minimum: -8 at  

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Sketch the graph of the function over the interval 0 ? x ? 2?.y = cos   

A.

B.

C.

D.

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For the given rational functions f(x) and g(x), f(x) + g(x).f(x) = , g(x) = 

A.
B.
C.
D.

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Solve the equation.-8x = -72

A. -64 B. 2 C. 64 D. 9

Mathematics