Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 – 0.005x2 – 0.01y², where the positive x-axis points east and the positive y- axis points north. %3D (a) If you walk due south, what will be your slope of ascent or descent? (b) If you walk northwest, what will be your slope of ascent or descent? (c) Among all possible directions of travel, what is the largest slope of ascent?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
Question
Answer all part of one question
Suppose you are standing at a point P = (60,40) on a hill whose shape is given by
f(x, y) = 1000 – 0.005x² – 0.01y², where the positive x-axis points east and the positive y-
axis points north.
(a) If you walk due south, what will be your slope of ascent or descent?
(b) If you walk northwest, what will be your slope of ascent or descent?
(c) Among all possible directions of travel, what is the largest slope of ascent?
Transcribed Image Text:Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 – 0.005x² – 0.01y², where the positive x-axis points east and the positive y- axis points north. (a) If you walk due south, what will be your slope of ascent or descent? (b) If you walk northwest, what will be your slope of ascent or descent? (c) Among all possible directions of travel, what is the largest slope of ascent?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning