Solve the problem.Find the measure of the unknown leg of this right triangle. Give its length in simplified radical form, and give a decimal approximation to the nearest thousandth. 

A. 2; 18.868
B. 2; 15.232
C. 4; 12.649
D. 2; 20.688


Answer: C

Mathematics

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Find the gradient field of the function.f(x, y, z) = ln + z4

A. ?f = i + j + k
B. ?f = i + j + k
C. ?f = i + j + k
D. ?f = i + j + k

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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

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Evaluate the surface integral of G over the surface S.S is the cylinder y2 + z2 = 25, z ? 0 and 4 ? x ? 6; G(x, y, z) = z

A. 500 B. 20 C. 100 D. 50

Mathematics

Multiply.(5 - 6i)(7 + 6i)

A. -36i2 - 12i + 35 B. 71 - 12i C. -1 - 72i D. 71 + 12i

Mathematics