Find the coordinates of the centroid of the given figure. Each region is covered by a thin, flat plate.The region enclosed by the parabolas y = - x2 + 32 and y = x2

A. (0, 32)
B.
C. (16, 0)
D. (0, 16)


Answer: D

Mathematics

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Solve.A cold piston measures 8.665 cm in diameter. What heated, it expands an additional 0.024 cm. What is the diameter of the heated piston?

Fill in the blank(s) with the appropriate word(s).

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List the critical values of the related function. Then solve the inequality. < 

A. - , 0;  ? (0, ?)
B. No critical values; (-?, ?)
C. , - , 0,  ? 
D. -7, , - , 0, ;   ?  ? 

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Graph the rational function and find the intercepts.f(x) = 

A. No x-intercept. y-intercept: - 

B. x-intercept = 0. y-intercept: - 

C. No x-intercept. y-intercept: 

D. No x-intercept. y-intercept: 

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Find the equilibrium vector for the transition matrix.Round the numbers in your answer to the nearest hundredth.

A.
B.
C.
D.

Mathematics