Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + xy + y2 - 3y - 6 = 0
A. ? = 45°
+ 
= 1
ellipse
center at 
major axis is y'-axis
vertices at 
and 
B. ? = 45°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±
, 0)
C. ? = 45°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±2)
D. ? = 45°
y'2 = -18x'
parabola
vertex at (0, 0)
focus at 
Answer: A
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Factor.8x2y2 - 31xy - 45
A. (8xy - 5)(xy + 9) B. (8x + 9y)(x - 5y) C. (8xy + 5)(xy - 9) D. (8xy + 9)(xy - 5)
Find the exact value of y, or state that y is undefined.y = tan-1 
A. - 
B. 
C. - 
D. 
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Solve.The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches, according to the function 
What rainfall produces the maximum number of mosquitoes?
A. 9.5 in. B. 19 in. C. 361 in. D. 0 in.