Determine the type of curve from the given information.A pool table is in the shape of a conic with the property that if a ball sitting at a focus is struck toward the rail, it will head toward the other focus after rebounding from the rail. What type of curve describes the shape of the pool table?
A. Hyperbola
B. Ellipse
C. Parabola
D. None of the above
Answer: B
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Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse having a focus at (0, -2
) and directrix y = - 
.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Apply Green's Theorem to evaluate the integral.
(2x + y3) dx + (3xy2 + 4y) dyC: Any simple closed curve in the plane for which Green's Theorem holds
A. There is not enough information to evaluate the integral. B. 0 C. -2 D. 2
Factor out the polynomial GCF.r(s - 1) + 9(s - 1)
A. r(s - 1) + 9 B. 9r(s - 1) C. (r - 9)(s + 1) D. (r + 9)(s - 1)
Find all solutions of the equation in the complex number system.x3 + 1 = 0
A. {-1}
B. {-1, 
+ 
, 
- 
}
C. {-1i, 
+ 
i, 
- 
i}
D. {-1, 
+ 
i, 
- 
i}