You are standing above the point (2,5) on the surface z = 30 - (2x² + 2y²). (a) In which direction should you walk to descend fastest? direction = (b) If you start to move in this direction, what is the slope of your path? slope =

You are standing above the point (2,5) on the surface z = 30 - (2x² + 2y²). (a) In which direction should you walk to descend fastest? direction = (b) If you start to move in this direction, what is the slope of your path? slope =

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.3: Linear Functions And Slope

Problem 33E: Find two points on the line and use slope formula to find the slope of the line. 3(y+2)=2x3

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Question

You are standing above the point (2,5) on the surface z = 30 – (2x² + 2y²).
(a) In which direction should you walk to descend fastest?
direction =
(b) If you start to move in this direction, what is the slope of your path?
slope
=

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