Find the flux of the vector field F across the surface S in the indicated direction.F = 4x2j  - z3k; S is the portion of the parabolic cylinder y = 4x2 for which 0 ? z ? 2 and -2 ? x ? 2; direction is outward (away from the y-z plane)

A. -128
B. 128
C.
D.


Answer: C

Mathematics

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Use the standard normal curve table to find the closest z-score for the given condition.30.2% of the total area is to the right of z.

A. 0.88 B. -0.52 C. 0.53 D. 0.52

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New telephone lines must be installed to connect 8 cities (A, B, C, D, E, F, G, and H). Due to government regulations, the only possible connections that are allowed are shown by the edges on the network below. The numbers on the edges indicate the cost (in millions of dollars) of each possible connection. The telephone company wishes to connect the cities in the cheapest possible way. In an optimal solution to this problem there will not be a direct connection between

A. B and C. B. E and G. C. C and D. D. B and D. E. all of these will be directly connected.

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Provide an appropriate response.Find the real roots of the equation: (x + 1)3 - 8 = 0

Fill in the blank(s) with the appropriate word(s).

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Find the first 4 terms of the recursively defined sequence.a1 = 6, a2 = 6, an + 1 = an + an - 1

A. 6, 6, 12, 12 B. 6, 6, 6, 18 C. 6, 6, 12, 18 D. 6, 6, 36, 216

Mathematics