5) Let F(x, y, z) = x²i+ y²j+ z2k be a vector field defined on the surface S which is the portion of the cylinder y2 + z? = 4, with z > 0 between the planes x = 0 and x = 5 oriented upward. Evaluate the surface integral f fs F.dS for the given vector field F and the oriented surface S.
5) Let F(x, y, z) = x²i+ y²j+ z2k be a vector field defined on the surface S which is the portion of the cylinder y2 + z? = 4, with z > 0 between the planes x = 0 and x = 5 oriented upward. Evaluate the surface integral f fs F.dS for the given vector field F and the oriented surface S.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 49E
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