Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = 3xy2i + 3x2yj + 2xyk ; D: the region cut from the solid cylinder x2 + y2 ? 9 by the planes z = 0 and z = 2
A. 972?
B. 243?
C. ?
D. 486?
Answer: B
Mathematics
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Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0).f(x, y) =
A. ? B. 0 C. 1 D. No limit
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Use the slope-intercept form to write the equation of the line passing through the point P(16, 2) and having the slope . Express the answer in general form.
?
A.
B. ?
C. ?
D. ?
E. ?
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Solve the inequality. Express your answer using interval notation.5x - 6 > 4x - 13
A. (-7, ?)
B. (-19, ?)
C. (-?, -7]
D. [-7, ?)
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Solve the problem.Martina bought 5 books to bring on vacation. However she decided that her bag was too heavy and that she wouldn't bring all of them. How many possible subsets are there if she brings at least one book but not all 5 books?
A. 31 B. 4 C. 30 D. 27
Mathematics