Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: cone x2 + y2 - z2 = 0 between z = 1 and z = 2Density: constant
A.
B.
C.
D.
Answer: D
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Describe the figure as completely as possible, using the properties simple, closed, polygonal curve, and polygon.
A. Closed, not simple B. Simple, not closed C. Polygon D. Simple, closed
Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last variable be the arbitrary variable.x - z = -5y + z = 1x + z = 2
A. {(-5, 1, 0)}
B.
C.
D. {(-3, -5, 7)}
Find the vertex, focus, and directrix of the parabola. Graph the parabola.(y - 3)2 = 4(x + 2)
A. vertex: (2, -3); focus: (3, -3) ;
directrix: x = 1
B. vertex: (3, -2); focus: (2, -2);
directrix: x = 4
C. vertex: (-2, 3); focus: (-3, 3);
directrix: x = -1
D. vertex: (-2, 3); focus: (-1, 3);
directrix: x = -3
Find a general term an for the arithmetic sequence.a4 = 50, a18 = -20
A. an = -5n + 65 B. an = -4n + 70 C. an = 5n + 72 D. an = -5n + 70