You are standing above the point (3, 3) on the surface z = 10 – (2x² + y²). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) direction = (b) If you start to move in this direction, what is the slope of your path? slope =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 26E
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You are standing above the point (3, 3) on the surface z = 10 – (2x² + y²).
(a) In which direction should you walk to descend fastest? (Give your answer as a unit
2-vector.)
direction =
(b) If you start to move in this direction, what is the slope of your path?
slope =
Transcribed Image Text:You are standing above the point (3, 3) on the surface z = 10 – (2x² + y²). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) direction = (b) If you start to move in this direction, what is the slope of your path? slope =
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