Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 81 - x2 and the x-axis, with density ?(x) = 9x2

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


Answer: C

Mathematics

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Solve the problem.The graph below shows the decrease in the percentage of Canadians below the poverty level from 1992 to 1997. Assume that the rate of decrease continues for the next several years and can be modeled by a linear equation of the form  Based on such a model, predict the percentage of Canadians below the poverty level in 2010.

A. 26.9% B. 29.0% C. 24.0% D. 56.3%

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Find the limit.sec x

A. ? B. -? C. 1 D. 0

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For the given Cartesian equation, write an equivalent polar equation.2x + 3y = 6

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Use the graph of the function f to solve the inequality.f(x) ? 0  

A. (-4, 4) ? [4, ?) B. (-?, -4) ? (4, ?) C. [-4, 4] D. (-4, 4)

Mathematics