Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x2 −0.01y2 where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 966). The positive x−axis points east and the positive y−axis points north. Find a vector representing the direction of largest slope at point P. What is the rate of ascent in that direction? Find a vector representing the direction where there is zero slope at the point P .
Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x2 −0.01y2 where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 966). The positive x−axis points east and the positive y−axis points north. Find a vector representing the direction of largest slope at point P. What is the rate of ascent in that direction? Find a vector representing the direction where there is zero slope at the point P .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
Related questions
Question
Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x2 −0.01y2 where x, y,
and z are measured in meters, and you are standing at a point with coordinates (60, 40, 966). The positive
x−axis points east and the positive y−axis points north.
Find a
ascent in that direction?
Find a vector representing the direction where there is zero slope at the point P .
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