Find the dot product, u ? v, for the given vectors.u = 
, v = 
A. -51
B. -81
C. 39
D. -37
Answer: A
Mathematics
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Find the flux of the vector field F across the surface S in the indicated direction.F = 2x2j - z2k; S is the portion of the parabolic cylinder y = 4x2 for which 0 ? z ? 4 and -2 ? x ? 2; direction is outward (away from the y-z plane)
A. - 
B. 
C. -128
D. 128
Mathematics
Solve the rational inequality.3 + 
- 
? 0
A. (-?, -2] ? 
B. 
C. 
D. [-2, 0) ? 
Mathematics
Solve the inequality. Graph the solution set, and state the solution set in interval notation.|x| < -3
A. (-?, -3]
B. (-?, -3) ? (3, ?)
C. (-3, 3)
D. ?
Mathematics
Find the eigenvalues and the corresponding eigenvectors 
What will be an ideal response?
Mathematics