Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: portion of the sphere x2 + y2 + z2 = 81 that lies in the first octantDensity: constant

A.
B.
C.
D.

Answer: A

Mathematics

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Evaluate the integral.dx

A.  sin 3x +  sin3 3x + C
B. 7 sin 3x -  sin3 3x + C
C.  sin 3x -  cos3 3x + C
D.  sin 3x -  sin3 3x + C

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Factor completely.12x2 + 25x + 12

A. (3x - 4)(4x - 3) B. (12x + 1)(x + 12) C. (12x + 4)(x + 3) D. (3x + 4)(4x + 3)

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Write the first four terms of the sequence.an = (-4)n

A. -4, 16, -64, 256 B. -1, 16, -81, 256 C. -4, -16, -64, -256 D. -1, -4, -16, -64

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Mathematics

Find the limit (if it exists). ? ?

A. 4 B. 1? C. -1 D. -4 E. does not exist

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Mathematics