Solve the problem.The disk (x - 5)2 + y2 ? 4 is revolved about the y-axis to generate a torus. Find its volume. (Hint: = 2?, since it is the area of a semicircle of radius 2.)

A. 20?2
B. 40?2
C. 20?
D. 10?2


Answer: B

Mathematics

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Simplify the expression. Assume all variables represent positive real numbers.

A.
B.
C.
D.

Mathematics

The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section. e = , y = 5

A. r = 
B. r = 
C. r = 
D. r = 

Mathematics

Use the given information to find the equation of the circle.Center: (-4, 1); passes through the point (-2, -2)

A. (x - 1)2 + (y + 4)2 = 13
B. (x + 4)2 + (y - 1)2 = 13
C. (x - 4)2 + (y + 1)2 = 13
D. (x + 4)2 + (y - 1)2 = 

Mathematics

Write the rational expression in lowest terms.

A.
B.
C.
D.

Mathematics