Level curves or contour curves - three dimensional space, Mathematics

Assignment Help:

Level Curves or Contour Curves

Another topic that we should look at is that of level curves or also known as contour curves. The level curves of the function z = f (x, y) are two dimensional curves we acquire by setting z = k , where k is any number.  Thus the equations of the level curves are f (x, y) = k .  

Notice: occasionally the equation will be in the form f (x, y, z) = 0 and in these cases the equations of the level curves are f (x, y, k) = 0.

You have probably seen level curves (or contour curves, doesn't matter whatever you want to call them) before.  If you have ever observed the elevation map for a piece of land, this is not anything more than the contour curves for the function that provides the elevation of the land in that area.  Actually, we probably do not have the function which gives the elevation, although we can at least graph the contour curves.


Related Discussions:- Level curves or contour curves - three dimensional space

Translate the formula into prefix form, Translate the following formula int...

Translate the following formula into a prefix form expression in Scheme: 5+4*(6-7/5)/3(14-5)(3+1)

Find the coordinates of the other two vertices, The two opposite vertices o...

The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of the other two vertices.

Factor expressions involving large powers, Factor Expressions Involving Lar...

Factor Expressions Involving Large Powers, Radicals, and Trig Functions You can use substitution to factor expressions involving large powers, radicals, and trig functions

Assignment, Is there any assignment work available for mathematics?

Is there any assignment work available for mathematics?

Geometry, how do you do rotations

how do you do rotations

Sales Tax and Value added Tax, Dinesh bought an article for Rs. 374, which ...

Dinesh bought an article for Rs. 374, which included a discount of 15% on the marked price and a sales tax of 10% on the reduced price. Find the marked price of the article.

Find out the probability, A speaks truth in 80% of the cases and B speaks t...

A speaks truth in 80% of the cases and B speaks truth in 60% of the cases.  Find out the probability of the cases of which they are possible to contradict each other in stating sim

Equivalent fractions, what is 6/36 as two equivalent fractions 2/12 as tw...

what is 6/36 as two equivalent fractions 2/12 as two equivalent fractions 4/28 3/21 2/11 4/13=8/x 12/30=n/90 q/54=2/9 3/7 14/h=7/20

Prime Ideals, Given a standard 2x3 matrix show the ideal formed by the 2x2 ...

Given a standard 2x3 matrix show the ideal formed by the 2x2 minors is Prime.

Linear graph, in the form of linear graph interpret the ralationship betwee...

in the form of linear graph interpret the ralationship between two quantities

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd