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You are standing above the point (4, 3) on the surface z = 30- (3x² + 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 =

You are standing above the point (4, 3) on the surface z = 30- (3x² + 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 =

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter4: Graphs
Section4.6: Find The Equation Of A Line
Problem 4.131TI: Find an equation of a line perpendicular to the line y=3x+1 that contains the point (4,2) . Write...
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You are standing above the point (4, 3) on the surface z = 30 − (3x² + 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 (4, 3) on the surface z = 30 − (3x² + 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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