Find the value of the determinant.
A. -21
B. -27
C. 27
D. -75
Answer: B
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Solve the problem.Find the point on the curve of intersection of the paraboloid 
and the plane 
that is closest to the origin.
A. (1, 1, -1) B. (1, 1, 1) C. (-1, 1, 1) D. (1, -1, 1)
Simplify. (Assume all variables are nonzero.)
2
A. 
B. 
C. 2
D. 
Solve the equation.-2a + 2 + 3a = 7 - 26
A. {35} B. {-35} C. {-21} D. {21}
An open rectangular box having a volume of 62.5in3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
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Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that
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Minimize f(x, y)
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x = __________
?
y = __________
?
z = __________
What will be an ideal response?