Find the flux of the vector field F across the surface S in the indicated direction.F = x5y4i + yj  - zk; S is the portion of the parabolic cylinder z = 9 - y2 for which  and 5 ? x ? 8; direction is outward (away from the x-y plane)

A. -162
B. 162
C. 81
D. 0


Answer: D

Mathematics

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Determine an appropriate viewing window for the given function and use it to display its graph.f(x) = 

A.

B.

C.

D.

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Factor the four-term polynomial by grouping.5x - 35 + xy - 7y

A. (x - 7)(5 + y) B. (x - 7y)(5 + y) C. (y - 7)(x + 5) D. (y - 7)(5x + y)

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A vector v has initial point P and terminal point Q. Find the magnitude of .P(13, 15), Q(1, 11)

A. 160
B. 2
C. 4
D. -16

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Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation.x4 + 18x3 + 71x2 - 18x - 72 = 0

A. -12, -6, -1, 1 B. -1, 1, 6, 12 C. -12, -6, 1, multiplicity 2 D. -6, -1, 1, 12

Mathematics