Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: upper hemisphere of x2 + y2 + z2 = 16 cut by the plane z = 0Density: ? = 5
A. Iz = 80?
B. Iz = 640?
C. Iz = 160?
D. Iz = ?
Answer: D
Mathematics
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Solve the inequality. Express your answer using interval notation.-5(5x + 2) < -30x + 15
A. (-?, -1]
B. (5, ?)
C. (-?, 5]
D. (-?, 5)
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Determine whether the given point is in the solution set to the given system.(-2, 6, -1)-x + 3y + 4z = 163x + 2y - z = 74x - y + 3z = -17
A. Yes B. No
Mathematics
Prove the identity.
?
What will be an ideal response?
Mathematics
Factor the expression.15(p + 3)2 + 23(p + 3) + 4
A. (5p + 4)(3p + 7) B. (5p + 1)(3p + 4) C. (5p + 16)(3p + 13) D. (5p + 19)(3p + 10)
Mathematics