Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: portion of the cone x2 + y2 - z2 = 0 between z = 1 and z = 2Density: ? = 3

A. Iz = 45
B. Iz = ?
C. Iz = 45?
D. Iz = 


Answer: B

Mathematics

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A. 28xy
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C. 4x2y
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Find all zeros of the function and write the polynomial as a product of linear factors.f(x) = x4 + 20x2 + 64

A. f(x) = (x + 2i)(x - 2i)(x + 4i)(x - 4i) B. f(x) = (x + 2 + 4i)2(x + 2 - 4i)2 C. f(x) = (x + 2i)2(x + 4i)2 D. f(x) = (x + i)(x - i)(x + 8i)(x - 8i)

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Find the slope and the y-intercept of the given line.y = -4x + 7

A. -4, (0, -7) B. 7, (0, -4) C. -7, (0, -4) D. -4, (0, 7)

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Simplify. Write your answer using only positive exponents. Assume that all variables represent nonzero numbers.

A.  
B. -x3
C.  
D.  x11

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