Use Cramer's rule to solve the system.-5x + 3y - z = 3 x + 7y + 4z = 45 -5x + y + z = -3
A. {(3, 3, 2)}
B. {(2, 5, 2)}
C. {(5, 2, 5)}
D. {(2, -5, -2)}
Answer: B
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Find the volume of the indicated region.the region common to the interiors of the cylinders 
and 
A. 
B. 
C. 
D. 4,000
Calculate the circulation of the field F around the closed curve C.F = - 
x2yi - 
xy2j; curve C is r(t) = 5 cos ti + 5 sin tj, 0 ? t ? 2?
A. 0
B. - 
C. - 
D. - 
Find the absolute maxima and minima of the function on the given domain.
on the square 
A. Absolute maximum: 108 at 
and 
absolute minimum: 36 at 
and 
B. Absolute maximum: 36 at 
and 
absolute minimum: 27 at 
and 
C. Absolute maximum: 108 at 
and 
absolute minimum: 0 at 
D. Absolute maximum: 36 at 
and 
absolute minimum: 0 at 
Solve the problem.Mark Jakob lives in Tulsa, Oklahoma and plans to attend graduate school to earn his Ph.D. in chemistry. He wants to visit chemistry departments at schools in the following cities: Berkeley, California; Madison, Wisconsin, and Chicago, Illinois. The costs of the one-way flights between these four cities are as follows: Tulsa to Berkeley costs $604; Tulsa to Madison costs $510; Tulsa to Chicago costs $490; Berkeley to Madison costs $817; Berkeley to Chicago costs $699; Chicago to Madison costs $95. What is the minimum cost Mark can pay to visit all the schools and return to Tulsa?
A. $2006 B. $2516 C. $1210 D. $1908