The augmented matrix of a system of equations has been transformed to an equivalent matrix in row-echelon form. If the system is consistent, then give the solution. If it is not, then state that it is inconsistent.
A. (5, - 2)
B. (2, 6)
C. (6, 2)
D. Inconsistent
Answer: C
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Sketch D and g(D) from the description of D and change of variables 
x = u cos v, y = u sin v where D is the rectangle 1 ? u ? 2, 0 ? v ? 
?
A.
 ? |  |
B.
 ? |  |
C. None of these.
D.
 ? |  |
Match the equation with the surface it defines. 
+ 
= 1 
A. Figure 1 B. Figure 3 C. Figure 4 D. Figure 2
Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. f(8, 0) = -4, local minimum; f(0, 8) = -4, local minimum B. f(8, 8) = 8188, local maximum C. f(0, 0) = -4, saddle point; f(8, 8) = 8188, local maximum D. f(0, 0) = -4, test is inconclusive
Find the standard equation of the circle that satisfies the conditions.Center (-9, 0), radius 5
A. (x + 9)2 + y2 = 25 B. (x - 9)2 + y2 = 25 C. x2 + (y - 9)2 = 5 D. x2 + (y + 9)2 = 5