Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 1Density: ? = 

A. Iz = ?
B. Iz = ?
C. Iz = 16?
D. Iz = 2?

Answer: D

Mathematics

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Provide an appropriate response.If the x-intercepts of an ellipse are (-2, 0) and (2, 0) and the y-intercepts are (0, 6) and (0, -6) what is the equation of the ellipse?

A.  +  = 1
B.  -  = 1
C.  +  = 1
D.  -  = 1

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Use differentiation to determine whether the integral formula is correct.dx = -  + C

A. No B. Yes

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Find all real numbers ? in [0, 2?] satisfying the condition. cos ? = 1

A. ? = ?
B. ? = -?
C. ? = 0
D. ? = 

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Use the properties of inverse trigonometric functions to evaluate .

A.
B.
C.
D.
E.

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Mathematics