Purchase Solution

Mountaintop Calculus

Not what you're looking for?

Ask Custom Question

** Please see the attached file for the complete problem explanation **
1. Yon are standing at the point P = (100, 100) on the side of a mountain whose height is given by
h = 1/1000 (3x^2 - 5xy + y2)
with the x-axis pointing east rind the y-axis pointing north.

(a) In what direction should you proceed in order to clamp the most steeply? At what angle from horizontal will you be climbing? Also. what is the direction of steepest decent?

(b) II you head east. will you be ascending or descending? At what angle (in degrees) from horizontal?

(c) II you head 30° north of east will you be ascending or descending? At what angle?

Attachments
Purchase this Solution

Solution Summary

In this solution we solve some problems in multivariable calculus involving mountain climbing.

Solution Preview

** Please see the attached file for the complete solution **

1. You are standing at the point on the side of a mountain whose height is given by:
(please see the attached file)
with the x-axis pointing east and the y-axis pointing north.

(a) In what direction should you proceed in order to climb the most steeply? At what angle from horizontal would you be climbing? Also, what is the direction of steepest descent?

The direction of steepest ascent is the direction ...

Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.