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

How many students are study physics alone, A class has 175 learners. The gi...

A class has 175 learners. The given table describes the number of learners studying one or more of the subsequent subjects in this case                 Subjects

Solve cos( 4 ) = -1 trig function, Solve cos( 4 θ ) = -1 . Solution ...

Solve cos( 4 θ ) = -1 . Solution There actually isn't too much to do along with this problem.  However, it is different from all the others done to this point.  All the oth

Integration, Awhat is the meaning and application sk question #Minimum 100 ...

Awhat is the meaning and application sk question #Minimum 100 words accepted#

Polynomials, sum of zero of polynomial x2-2x+1is equal to sum of zero of po...

sum of zero of polynomial x2-2x+1is equal to sum of zero of polynomial x3-2x+x then find the product of all the three zero of the second polynomial

Transportation and assignment problem, what is transportation and assignmen...

what is transportation and assignment problem. give the computer application of transportation and assignment problem

Mean, Jocelyn has 6 birds, Their mean age is 10. The mode of their ages is ...

Jocelyn has 6 birds, Their mean age is 10. The mode of their ages is 8. What might their ages be? Show your work.

MENSURATION, HOW TO FIND THE HEIGHT OF A CYLINDER I NEED IT FOR ASSIGNMENT ...

HOW TO FIND THE HEIGHT OF A CYLINDER I NEED IT FOR ASSIGNMENT TO BE SUBMITTED BY 8;00 AM

Evaluate indefinite integrals, Evaluate following indefinite integrals. ...

Evaluate following indefinite integrals.  (a) ∫ 5t 3 -10t -6 + 4 dt  (b) ∫ dy Solution  (a) ∫ 5t 3 -10t -6 + 4 dt There's not whole lot to do here other than u

Profit maximization, a medical clinic performs three types of medical tests...

a medical clinic performs three types of medical tests that use the same machines. Tests A, B,and C take 15 minutes, 30 minutes and 1 hours respectively, with respective profits of

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