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

Equation, Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/...

Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.

Light take 5.3 × 10-6 seconds calculate standard notation, It takes light 5...

It takes light 5.3 × 10 -6 seconds to travel one mile. What is this time in standard notation? In order to convert this number to standard notation, multiply 5.3 through the f

Squeeze theorem (sandwich theorem and the pinching theorem), Squeeze Theore...

Squeeze Theorem (Sandwich Theorem and the Pinching Theorem) Assume that for all x on [a, b] (except possibly at x = c ) we have,                                 f ( x )≤ h (

Tent originally sold for $2 what is the percent of discount, A tent origina...

A tent originally sold for $260 and has been marked down to $208. What is the percent of discount? Find out the number of dollars off. $260 - $208 = $52. Further, determine wha

Solve out the linear equations, Solve out each of the following equations. ...

Solve out each of the following equations.                3( x + 5)= 2 ( -6 - x ) - 2x Solution In the given problems we will explained in detail the first problem and t

Show that of all right triangles inscribed in a circle, Show that of all ri...

Show that of all right triangles inscribed in a circle, the triangle with maximum perimeter is isosceles.

Trigonometry, Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA

Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA

Product moment coefficient, Product Moment Coefficient This gives an i...

Product Moment Coefficient This gives an indication of the strength of the linear relationship among two variables. Note that this formula can be rearranged to have di

Series solution, Find the series solution of2x2y”+xy’+(x2-3)Y=0 about regul...

Find the series solution of2x2y”+xy’+(x2-3)Y=0 about regular singular point

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