Solve the problem.Find the center of mass of the solid enclosed between the cone with equation  and the plane with equation  if the density at any point is proportional to the distance from that point to the axis of the cone.

A. () = 
B. () = 
C. () = 
D. () = 


Answer: C

Mathematics

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Solve the differential equation.25y'' - 40y' + 16y = 0

A. y = C1e(4/5)x + C2 e(-4/5)x  B. y = (C1 + C2x) e(-4/5)x  C. y = Ce(4/5)x D. y = (C1 + C2x) e(4/5)x 

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Give an appropriate answer.Letf(x) = -8 andg(x) = -5. Find[f(x) - g(x)].

A. -4 B. -8 C. -3 D. -13

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Find the x- and y-intercepts. If no x-intercepts exist, state so.f(x) = -x2 - 6x - 10

A. , (0, -10)
B. No x-intercepts, (0, -10)
C. , (0, 10)
D. No x-intercepts, (0, 10)

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Multiply.2(-5)

A. -10 B. 3 C. -3 D. 10

Mathematics