Answered: 2 Let f(x,y,z) = 4x + 2y +z +7 and P be… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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2
Let f(x,y,z) = 4x + 2y +z +7 and P be the point (x,y,z) = (1,1,1).
(i) Find a unit vector n in the direction where f increases most rapidly at P.
(ii) Find the minimum rate of change of f at P.
() n =
+
+
(ii) minimum rate of change is :

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