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If g(x, y) = x² + y² 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector Vg(1, 6) to find the tangent line to the level curve g(x, y) = 31 at the point (1, 6).

If g(x, y) = x² + y² 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector Vg(1, 6) to find the tangent line to the level curve g(x, y) = 31 at the point (1, 6).

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 6E: For the line l:x,y,z=5,3,-2+n1,2,-2, find a a point of the line. b a direction vector for the line.
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If g(x, y) = x² + y² − 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector Vg(1, 6) to find the tangent line to the level curve g(x, y) = 31 at the point (1, 6).
Transcribed Image Text:If g(x, y) = x² + y² − 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector Vg(1, 6) to find the tangent line to the level curve g(x, y) = 31 at the point (1, 6).
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