Find the directrices of the hyperbola.81x2 - 64y2 = 5184
A. y = ± 
B. y = ± 
C. x = ± 
D. x = ± 
Answer: C
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Determine an appropriate domain of the function. Identify the independent and dependent variables.A weather balloon of radius r (in meters) is filled with air. The volume V of the balloon is given by the function 
. Assume the balloon can hold up to 16 m3 of air.
A. D = [0, 16]
The independent variable is r.
The dependent variable is V.
B. D = 
The independent variable is V.
The dependent variable is r.
C. D = 
The independent variable is r.
The dependent variable is V.
D. D = 
The independent variable is r.
The dependent variable is V.
Consider a soldier facing in a given direction (say north). Let us denote "left face" by l, "right face" by r, "about face" by a, and "stand fast" by f. (The element f means "don't move from your present position." It does not mean "return to your original position.") Then we define 
and an operation 
meaning
"followed by." Thus, 
means "left face" followed by "left face" and is the same as the single command "about face." Complete the following table.
a l r f a 0 l a r 0 f ?
A. a l r f
a f r l a
l r f f l
r l f a r
f a l r f
?
B.
a l r fa r l a f
l l f l a
r a l r a
f f r a f
?
C.
a l r fa f r l a
l r a f l
r l f a r
f a l r f
?
D.
a l r fa r a f l
l a f a r
r f a r f
f l r f a
?
Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.
A. 
B. 
C. 
D. 
Subtract.-146 - (-87 )
A. 233 B. -59 C. 59 D. -233