Use Gauss's Divergence Theorem to calculate .F(x, y, z) = 3xi + 3yj + 2zk, S is the cube 0 ? x ? 1, 0 ? y ? 1, 0 ? z ? 1.

A. 10
B. 8
C. 1
D. 22


Answer: B

Mathematics

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Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given function.f(x) = -7x9 + x7  - x2 + 3

A. 3 or 1 positive zeros, 3 or 1 negative zeros B. 3 or 1 positive zeros, 2 or 0 negative zeros C. 2 or 0 positive zeros, 2 or 0 negative zeros D. 2 or 0 positive zeros, 3 or 1 negative zeros

Mathematics

Solve.The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 72 seconds are required to make a 3-by-4 enlargement, find the time required for a 4-by-8 enlargement.

A. 160 sec B. 256 sec C. 224 sec D. 192 sec

Mathematics

Find the product.(x - 8)(x + 8)(x2 + 64)

A. x4 - 256x2 + 4096 B. x4 - 64 C. x4 - 4096 D. x4 - 16x2 - 64

Mathematics

The graph of a logarithmic function is given. Select the function for the graph from the options.

A. f(x) = log3(x + 2) B. f(x) = log3x C. f(x) = log3x + 2 D. f(x) = log3(x - 2)

Mathematics