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Use Stokes' theorem to evaluate f curlF · ds. F(x, y, z) = y²zi+xzj + x²y²k S is the part of the paraboloid z = x² + y² that is inside the cylinder x² + y² = 1 looking up.

Use Stokes' theorem to evaluate f curlF · ds. F(x, y, z) = y²zi+xzj + x²y²k S is the part of the paraboloid z = x² + y² that is inside the cylinder x² + y² = 1 looking up.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Use Stokes' theorem to evaluate ſ curlF · ds. F(x, y, z) = y²zi+xzj + x²y²k S is the part of the paraboloid z = x² + y² that is inside the cylinder x² + y² = 1 looking up.
Transcribed Image Text:Use Stokes' theorem to evaluate ſ curlF · ds. F(x, y, z) = y²zi+xzj + x²y²k S is the part of the paraboloid z = x² + y² that is inside the cylinder x² + y² = 1 looking up.
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