Find the vertices of the hyperbola.(x + 2)2 - 81(y - 3)2 = 81
A. (-7, -3) and (11, -3)
B. (9, 3) and (-9, 3)
C. (-11, 3) and (7, 3)
D. (-10, 4) and (8, 4)
Answer: C
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Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = 4x2 + 9y2; 0 ? x ? 1, 0 ? y ? 1
A. 
B. 
C. 
D. 
Provide an appropriate response.A plumber uses a 
inch pipe with 
inch insulation. What size hole must be bored for the insulated pipe to pass through?
Fill in the blank(s) with the appropriate word(s).
Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.logn
A. 
logn6 + 
lognx - 
lognz
B. 
logn6 + 5 lognx - 9 lognz
C. 
logn6 + 
lognx + 
lognz
D. 
logn6 - 
lognx - 
lognz
Provide an appropriate response.In certain situations, a matrix game can be reduced to a smaller game by deleting certain rows and/or columns from the payoff matrix. The optimal strategy for the reduced game will then determine the optimal strategy for the original game. In what circumstances may a row or column be deleted from the payoff matrix?
A. A row may be deleted if it is recessive to some other row and a column may be deleted if it is dominant to some other column. B. A row may be deleted if it is dominant to some other row and a column may be deleted if it is recessive to some other column. C. A row may be deleted if it is dominant to some other row and a column may be deleted if it is dominant to some other column. D. A row may be deleted if it is recessive to some other row and a column may be deleted if it is recessive to some other column.