Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.xy +16 = 0
A. ? = 45°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4
)
B. ? = 45°
y'2 = -32x'
parabola
vertex at (0, 0)
focus at (-8, 0)
C. ? = 45°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is y'-axis
vertices at (0, ±4
)
D. ? = 36.9°
+ 
= 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
Answer: C
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Simplify the square root.2
A. 4
B. 16
C. 4
D. This expression is already simplified.
Solve the system by the substitution method.y = x + 5y2 = 20x
A. {(5, 10)} B. {(5, 10), (5, -10), (-5, 0)} C. {(5, 10), (-5, 0)} D. {(5, 10), (5, -10)}
Find the general solution for the differential equation.x
+ 2xy - x2 = 0
A. y = 
- 
+ Ce2x
B. y = 
+ 
+ Ce2x
C. y = 
- 
+ Ce-2x
D. y = 
- 
+ Ce-2x
Use this table of conversion factors to help you answer the following questions.
A precision part is milled to 3.275 in. in width. What is the width in millimeters?
A. 85.5 mm B. 84.4 mm C. 75.7 mm D. 83.2 mm E. 79.4 mm