Find the flux of the vector field F across the surface S in the indicated direction.F = x4y3i + yj  - zk; S is the portion of the parabolic cylinder z = 1 - y2 for which  and 4 ? x ? 6; direction is outward (away from the x-y plane)

A. -4
B. 4
C. 2
D. 0


Answer: D

Mathematics

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Determine the real solutions to the system of nonlinear equations.x2 + y2 = 169x + y = 17

A. (12, -5), (5, -12) B. (12, 5), (5, 12) C. (-12, -5), (-5, -12) D. (-12, 5), (-5, 12)

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Write the expression using exponents.4 ? 4 ? 4 ? 4 ? 4 ? 4

A. 24 B. 64 C. 45 D. 46

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Evaluate the integral.

A.
B.
C.
D.

Mathematics

Fill in the blank with one of the choices listed below. Some choices may be used more than once. When writing decimals in words, write "" for the decimal point.

A. sum B. mean C. mode D. and

Mathematics