3. Consider the following surface and the point P on the surface. Let C'be the path of steepest descent on the surface beginning at Pand let Cbe the projection of C'on the xy-plane. Find an equation of Cin the xy-plane. f(x.y)=y'-x, P(L,1,0)

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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3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest descent on the
surface beginning at Pand let Cbe the projection of C' on the xy-plane. Find an equation of Cin the xy-plane.
f(x.y)=y'-x', P(1,1,0)
Transcribed Image Text:3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest descent on the surface beginning at Pand let Cbe the projection of C' on the xy-plane. Find an equation of Cin the xy-plane. f(x.y)=y'-x', P(1,1,0)
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