You are standing above the point (2, 2) on the surface z = 15 – (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 = ▶

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter3: Graphs And Functions
Section3.3: Find The Equation Of A Line
Problem 3.61TI: 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 (2, 2) on the surface z =
(a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.)
direction
15 − (3x² + y²).
=
(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 (2, 2) on the surface z = (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) direction 15 − (3x² + y²). = (b) If you start to move in this direction, what is the slope of your path? slope =
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