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Consider the force field F(x, y, 2) i+ x² cos z + j+ -k (a) Use Gauss' theorem to find the flux across S of F, given S is the surface defined by x2 + y? + z2 = 1 oriented with inward unit normal. (b) Is F a conservative vector field? Justify your answer.

Consider the force field F(x, y, 2) i+ x² cos z + j+ -k (a) Use Gauss' theorem to find the flux across S of F, given S is the surface defined by x2 + y? + z2 = 1 oriented with inward unit normal. (b) Is F a conservative vector field? Justify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the force field F(x, y, 2) i+ x² Cos z + j+ -k 3 (a) Use Gauss' theorem to find the flux across S of F, given S is the surface defined by x2 + y? + z2 =1 oriented with inward unit normal. (b) Is F a conservative vector field? Justify your answer.
Transcribed Image Text:Consider the force field F(x, y, 2) i+ x² Cos z + j+ -k 3 (a) Use Gauss' theorem to find the flux across S of F, given S is the surface defined by x2 + y? + z2 =1 oriented with inward unit normal. (b) Is F a conservative vector field? Justify your answer.
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