Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Vertices at (0, 6) and (0, -6); asymptotes y = 
x and y = - 
x
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Answer: D
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For the segment bounded by chord 
and arc 
, CD = 12
cm and m
= 120°.Find the exact area of the segment.
A. 48
B. (48
18) 
C. (48 
36)
D. None of These
Solve the problem.Maria, Daniel, Stephanie, Michael, Elena, Tyler, Sue, and Dimitri have reserved eight seats in a row at the theater, starting at an aisle seat. In how many ways can they arrange themselves if Maria and Daniel are to sit next to each other?
A. 1440 B. 5040 C. 10,080 D. 11,520
Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region in the first quadrant bounded by x = 5y - y2 and the y-axis about the y-axis
A. 
?
B. 
?
C. 
?
D. 
?
Provide an appropriate response.Evaluate 
by writing the integrand as an integral.
A. 
ln 
B. 
ln 
C. ln 
D. 
ln 