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A differentiable function f(x, y) has the property that f(1, 4) = 5 and f-(1, 4) = 3 and f,(1, 4) = -5. Find the equation of the tangent plane at the point on the surface z = f(x, y) where a = 1, y = 4.

A differentiable function f(x, y) has the property that f(1, 4) = 5 and f-(1, 4) = 3 and f,(1, 4) = -5. Find the equation of the tangent plane at the point on the surface z = f(x, y) where a = 1, y = 4.

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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A differentiable function f(x, y) has the property that f(1,4) = 5 and f-(1, 4) = 3 and f,(1, 4) = -5. Find the equation of the tangent plane at the point on the surface z = f(x, y) where a = 1, y = 4.
Transcribed Image Text:A differentiable function f(x, y) has the property that f(1,4) = 5 and f-(1, 4) = 3 and f,(1, 4) = -5. Find the equation of the tangent plane at the point on the surface z = f(x, y) where a = 1, y = 4.
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