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

Formulas, all formulas of plane figures

all formulas of plane figures

Find the frame of a quadratic polynomial , If α, β are the zeros of the pol...

If α, β are the zeros of the polynomial x 2 +8x +6 frame a Quadratic polynomial whose zeros are a)  1/α and  1/β b) 1+ β/α , 1+ α/β. Ans. P(x) = x 2 +8x +6 α + β = -8

Correlation, How o make vicariate frequency distribution table

How o make vicariate frequency distribution table

Find the distance between these two cities, Memphis, Tennessee, and New Orl...

Memphis, Tennessee, and New Orleans, Louisiana, lie approximately on the same meridian. Memphis has latitude 35°N and New Orleans has latitude 30°N. Find the distance between these

Word problems involving money, Word Problems Involving Money: The prom...

Word Problems Involving Money: The promoter of a track meet engages a 6,000 seat armory.  He needs to gross $15,000. The price of children's tickets is to be one-half the pric

One integer is two more than another what is greater integer, One integer i...

One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer? Let x = the greater integer and y = the lesser int

The value of m+n, Every point (x,y) on the curve y=log2 3x is transferred t...

Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve

Ronding off numbers, how to round off numbers to the nearest tens and to th...

how to round off numbers to the nearest tens and to the nearest hundred

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