Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = 4x3i + 4y3j + 4z3k ; D: the thick sphere 1 ? x2 + y2 + z2 ? 16

A. 756?
B. ?
C. 49,104?
D. 1360?


Answer: B

Mathematics

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Answer the question.Find the direction in which the function is increasing or decreasing most rapidly at the point Po.f(x, y) = xy2 - yx2, Po(-1, 2)

A.  i +  j
B.  i +  j
C.  i +  j
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What will be an ideal response?

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Simplify.

A. z16
B.
C. 2z
D. z4

Mathematics