Find the indicated quantity.Find the moment of inertia with respect to its axis of the solid generated by revolving the region bounded by   and the  about the x-axis, where k is the density.

A. ?k
B. ?k
C. ?k
D. ?k


Answer: D

Mathematics

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Find the derivative of the function.y = 

A. y ' = 
B. y ' = 
C. y ' = 
D. y ' = 

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Find all complex roots. Write the answer in polar form, with 0 ? ? ? 360°.Cube roots of 5 + 5i

A. (cos 20° + i sin 20°), (cos 140° + i sin 140°), (cos 260° + i sin 260°)
B. (cos 20° + i sin 20°), (cos 140° + i sin 140°), (cos 260° + i sin 260°)
C. (cos 30° + i sin 30°), (cos 150° + i sin 150°), (cos 270° + i sin 270°)
D. (cos 20° + i sin 20°), (cos 140° + i sin 140°), (cos 260° + i sin 260°)

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Solve the problem.Determine if the columns of the matrix A =  are linearly independent.

A. No B. Yes

Mathematics

Factor the expression completely.320x2 - 245y2

A. 5(8x + 7y)2 B. 5(8x - 7y)(8x + 7y) C. (8x - 7y)(40x + 35y) D. (40x - 35y)(8x + 7y)

Mathematics