Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 4Density: ? = 

A.
B.
C.
D.


Answer: C

Mathematics

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Find the limit.

A. -1
B. 1
C.
D. No limit

Mathematics

Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region bounded by y = 4x - x2 and y = x about the line x = 3

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

Mathematics

Factor.z2 - 2z + 1

A. (z - 1)2 B. (z - 2)(z + 2) C. (z - 1)(z + 1) D. (z + 1)2

Mathematics

Use transformations of the graph of y = x4 or y = x5 to graph the function.f(x) = -2(x + 3)4 + 3 

A.

B.

C.

D.

Mathematics