1: Evaluate the (outer) flux of F = (y, x, 1) over the closed surface S whichconsists of the ry, az, yz planes on the first octant and the portion of the spherea? +y? +2? = 4 on the first octant. In other words, S is the surface in the firstoctant bounded by the sphere and three coordinate planes bya) Direct computationb) Using divergence theorem.

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1: Evaluate the (outer) flux of F = (y, x, 1) over the closed surface S which consists of the ry, rz, yz planes on the first octant and the portion of the sphere 2? + y? + 2? = 4 on the first octant. In other words, S is the surface in the first octant bounded by the sphere and three coordinate planes by a) Direct computation

1: Evaluate the (outer) flux of F = (y, x, 1) over the closed surface S which consists of the ry, rz, yz planes on the first octant and the portion of the sphere 2? + y? + 2? = 4 on the first octant. In other words, S is the surface in the first octant bounded by the sphere and three coordinate planes by a) Direct computation

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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