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 = 9 cut by the plane z = 0Density: ? = 2

A. Iz = 216?
B. Iz = 108?
C. Iz = 18?
D. Iz = 27?


Answer: A

Mathematics

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Mathematics

Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round lengths to the nearest tenth and angle measures to the nearest degree.C = 35°, a = 18.7, c = 16.1

A. A1 = 103°, B1 = 42°, b1 = 27.4; A2 = 7°, B2 = 138°, b2 = 3.4 B. A1 = 42°, B1 = 103°, b1 = 27.4; A2 = 138°, B2 = 7°, b2 = 3.4 C. no triangle D. A = 42°, B = 103°, b = 27.4

Mathematics

Find the area of the region bounded by y = 9x , y = x3 , x = ?3 , and x = 0 .

What will be an ideal response?

Mathematics

Graph the system of inequalities. Indicate the solution set by shading.2x + 3y ? 6  x - y ? 3  x ? 1

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Mathematics