Let I=(V×G)·ndo, where G(x,y,z)=(ze*-y,4x,z4> and S is the part of the surface z=Vx2+6y²+1 that lies inside the cylinder*+3y2=1 with upward orientation.Let Iz= [F dr,dr, where F(x,y,z)=

Given that Gx,y,z=zex-y,4x,z4. The surfaces are given by z=x2+6y2+1⇒z2=x2+6y2+1 that lies inside the…

Let I- (VxG) ndo, where G(x.y,z)=(ze*-y,4x,z*) and S is the part ofi the surface z=/x²+6y²+1 that lies inside the cylinder +3y²=1 with upward orientation. Let I2- where F(x.y.z)= and C is the parallelogram in space with vertices (2,-1,1), (1,0,1), (3,0,3), and (2,1,3) oriented counter-clockwise when viewed from above. Note that the parallelogram lies on the plane z=x+y. Chocse the TWO correct statements. Iz= o2=-6

Let I- (VxG) ndo, where G(x.y,z)=(ze-y,4x,z) and S is the part ofi the surface z=/x²+6y²+1 that lies inside the cylinder +3y²=1 with upward orientation. Let I2- where F(x.y.z)= and C is the parallelogram in space with vertices (2,-1,1), (1,0,1), (3,0,3), and (2,1,3) oriented counter-clockwise when viewed from above. Note that the parallelogram lies on the plane z=x+y. Chocse the TWO correct statements. Iz= o2=-6

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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