Solve the problem.The base of the closed cubelike surface is the unit square in the xy-plane. The four sides lie in the planes 
, x = 1, y = 0, and y = 1. The top is an arbitrary smooth surface whose identity is unknown. Let 
and suppose the outward flux through the side parallel to the yz-plane is 1 and through the side parallel to the xz-plane is -5. What is the outward flux through the top?
A. 0
B. -4
C. Not enough information to determine
D. 4
Answer: D
Mathematics
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Factor the polynomial completely.16x3y + 32x2y + 16xy
A. 2y(4x + 1)(2x + 8) B. 2xy(8x + 4)(x + 2) C. 2xy(4x + 4)(2x + 2) D. 2xy(4x + 1)(2x + 8)
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Find the midpoint of the line segment joining the given points. Select the correct answer.
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Name the quadrant in which the angle ? lies.tan ? < 0, sin ? < 0
A. I B. II C. III D. IV
Mathematics
Solve the equation for exact solutions over the interval [0, 2?).2 sin2x = sin x
A. 
B. 
C. 
D. 
Mathematics