Find the asymptotes of the hyperbola.x2 - 9y2 - 2x + 54y - 89 = 0
A. y - 3 = ± 3(x - 1)
B. y + 3 = ± 3(x + 1)
C. y - 1 = ± 
(x - 3)
D. y - 3 = ± 
(x - 1)
Answer: D
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Multiply the polynomials.(x + 3)(x2 - 3x + 9)
A. x3 + 6x2 + 6x + 27 B. x3 + 27 C. x3 - 6x2 - 6x + 27 D. x3 - 27
Find T, N, and B for the given space curve.r(t) = 
i + 
j + 3tk
A. T = 
(cos 0.571t)i - 
(sin 0.571t)j ; N = (-sin 0.571t)i - (cos 0.571t)j ; B = 
(cos 0.571t)i - 
(sin 0.571t)j - 
k
B. T = 
(sin 0.571t)i - 
(cos 0.571t)j ; N = (-sin 0.571t)i - (cos 0.571t)j ; B = 
(cos 0.571t)i - 
(sin 0.571t)j - 
k
C. T = 
(cos 0.571t)i - 
(sin 0.571t)j + 
k ; N = (-sin 0.571t)i - (cos 0.571t)j ; B = - 
k
D. T = 
(cos 0.571t)i - 
(sin 0.571t)j + 
k ; N = (-sin 0.571t)i - (cos 0.571t)j ; B = 
(cos 0.571t)i - 
(sin 0.571t)j - 
k
Provide an appropriate response.Insert < or > in the blank to make the statement true.
A. < B. >
The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.
, 
, 
, 
, ...
A. an = 
B. an = 
C. n(n + 3)
D. an = 