Provide the proper response.It can be shown that a hyperbola with center at the origin, foci at F'(-c, 0) and F(c, 0), and equation 
has equation 
- 
= 1. Use this result to find an equation of a hyperbola with center at the origin, foci at (-4, 0) and (4, 0), and absolute value of the distances from any point of the hyperbola to the two foci equal to 4.
A. 
- 
= 1
B. 
- 
= 1
C. x2 - y2 = 4
D. 
- 
= 1
Answer: A
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Find the limit, if it exists.
A. 1/3 B. 0 C. Does not exist D. 3
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What will be an ideal response?
Sketch D and g(D) from the description of D and change of variables 
x = u2 - v2, y = 2uv where D is the rectangle 0 ? u ? 1, 0 ? v ? 1
A.
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B.
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C.
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D.
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