Calculate the circulation of the field F around the closed curve C.F = xy2i + x2yj; curve C is the counterclockwise path around C1 ? C2 : C1:  0 ? t ? ?C2: r(t) = ti , -8 ? t ? 8

A. 0
B. 64
C. 8
D. 128


Answer: A

Mathematics

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Write out the terms of the series.

A. -28,125 + 140,625 - 703,125 + 3,515,625 - 17,578,125 B. 5625 - 28,125 + 140,625 - 703,125 + 3,515,625 C. 4,100,625 - 184,528,125 + 8.303765625e+09 - 3.736694531e+11 + 1.681512539e+13 D. -32,805 - 295,245 - 2,657,205 - 23,914,845 - 215,233,605

Mathematics

Factor completely. If a polynomial cannot be factored, say it is prime.12a2 - 5ab - 3b2

A. (3a - b)(4a + 3b) B. prime C. (12a + b)(a - 3b) D. (3a + b)(4a - 3b)

Mathematics

Find the domain of the composite function f?g.f(x) = , g(x) = 3x + 18

A. [-6, ?) B. (-?, ?) C. (-?, -6] ? [0, ?) D. [0, ?)

Mathematics

Identify the sets: The integers greater than –5 and less than 1.

a.  {-5, -4, -3, -2, -1, 0} b.  {-4, -3, -2, -1, 0} c.  {-4, -3, -2, -1, 0, 1} d.  {-5, -4, -3, -2, -1, 0, 1}

Mathematics