Find 
.v = 6i - 6j - 6k
A. 6
B. 6
C. 
D. 6
Answer: B
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Find all the second order partial derivatives of the given function.f(x, y) = cos xy2
A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y
; fyx(x, y) = fxy(x, y) = 2
Use a proportion to solve the problem.The scale on a map is 
inch to 6 miles. Find the actual distance between two towns for which the distance is represented by 30 inches on the map.
A. 720 mi B. 712.5 mi C. 723.85 mi D. 708 mi
Simplify. Assume that no radicands were formed by raising negative quantities to even powers.
A. -15
B. 25
C. -25
D. 15
Introduce slack variables as necessary, and write the initial simplex tableau for the problem.Find x1 ? 0 and x2 ? 0 such that2x1 + 5x2 ? 143x1 + 3x2 ? 18 and z = 4x1 + x2 is maximized. 
A. 
B. 
C. 
D. 
