Find the center and radius of the circle.(y + 8)2 = 36 - (x + 2)2
A. Center: (-2, -8); radius: 6
B. Center: (8, 2); radius: 36
C. Center: (2, 8); radius: 6
D. Center: ( -8, -2); radius: 36
Answer: A
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Find the area of the region specified in polar coordinates.the region enclosed by the curve r = 8 + cos ?
A. 
?
B. 65?
C. 
?
D. 43?
Divide and simplify. Assume that all variables represent positive numbers.
A. 9x2
B. 9x2
C. 9
D. 9x4
Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(x + 1)2 - 9(y - 2)2 = 9
A. center: (-1, 2)
transverse axis: x = -1
vertices: (-1, -1) and (-1, 5),
foci: (-1, 2 - 
) and (-1, 2 + 
),
asymptotes: y + 2 = - 3(x - 1) and y + 2 = 3(x - 1)
B. center: (2, -1)
transverse axis: y = 2
vertices: (-1, -1) and (5, -1)
foci: (2 - 
, -1) and (2 + 
, -1)
asymptotes: y + 1 = - 
(x - 2) and y + 1 = 
(x - 2)
C. center: (-1, 2)
transverse axis: y = 2
vertices: (-4, 2) and (2, 2)
foci: (-1 - 
, 2) and (-1 + 
, 2)
asymptotes: y - 2 = - 
(x + 1) and y - 2 = 
(x + 1)
D. center: (-1, 2)
transverse axis: y = 2
vertices: (-2, 2) and (0, 2)
foci: (-1 - 
, 2) and (-1 + 
, 2)
asymptotes: y - 2 = - 3(x + 1) and y - 2 = 3(x + 1)
A cylindrical cooling sleeve for a beverage is filled with liquid for freezing. The sleeve is 1 cm thick; the inner radius of the sleeve is 4 cm, the outer radius of the sleeve is 5 cm and the height of the sleeve is 10 cm. How much liquid is needed? Give the exact answer.
