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