Yahoo Canada Web Search

Sign In

Search results

  1. Images

    • Level Curves of Functions of Two Variables - YouTube
    • Learning Curve: Theory, Meaning, Formula, Graphs [2022]
    • Types of graph curves - ShamimAashi
    • Graphs: Types, Examples & Functions - Video & Lesson Transcript | Study.com

    View all

  2. courses.lumenlearning.com › chapter › level-curvesLevel Curves | Calculus III - Lumen Learning

    Level curves of the function g(x,y)=√9−x2−y2 g (x y) = 9 − x 2 − y 2, using c=0,1,2 c = 0 1, 2, and 3 3 (c=3 c = 3 corresponds to the origin). A graph of the various level curves of a function is called a contour map.

  3. tutorial.math.lamar.edu › Classes › CalcIIICalculus III - Functions of Several Variables

    Nov 16, 2022 · The level curves (or contour curves) for this surface are given by the equation are found by substituting \(z = k\). In the case of our example this is, \[k = \sqrt {{x^2} + {y^2}} \hspace{0.25in}\hspace{0.25in} \Rightarrow \hspace{0.25in}\hspace{0.25in}{x^2} + {y^2} = {k^2}\]

    • what is an example of a level curve graph that will make a graph of y graph1
    • what is an example of a level curve graph that will make a graph of y graph2
    • what is an example of a level curve graph that will make a graph of y graph3
    • what is an example of a level curve graph that will make a graph of y graph4
    • what is an example of a level curve graph that will make a graph of y graph5

  4. Videos

    View all

  5. mathinsight.org › level_setsLevel sets - Math Insight

    One way to collapse the graph of a scalar-valued function of two variables into a two-dimensional plot is through level curves. A level curve of a function $f(x,y)$ is the curve of points $(x,y)$ where $f(x,y)$ is some constant value. A level curve is simply a cross section of the graph of $z=f(x,y)$ taken at a constant value, say $z=c$. A ...

  6. openstax.org › books › calculus-volume-34.1 Functions of Several Variables - Calculus Volume 3 - OpenStax

    Find and graph the level curve of the function g (x, y) = x 2 + y 2 − 6 x + 2 y g (x, y) = x 2 + y 2 − 6 x + 2 y corresponding to c = 15. c = 15. Another useful tool for understanding the graph of a function of two variables is called a vertical trace.

  7. math.libretexts.org › Bookshelves › Calculus12.1: Introduction to Multivariable Functions - Mathematics ...

    Dec 29, 2020 · A level curve at \(z=c\) is a curve in the \(x\)-\(y\) plane such that for all points \((x,y)\) on the curve, \(f(x,y) = c\). When drawing level curves, it is important that the \(c\) values are spaced equally apart as that gives the best insight to how quickly the "elevation'' is changing. Examples will help one understand this concept.

  8. mathinsight.org › level_set_examplesLevel set examples - Math Insight

    Example 1. Let $f(x,y) = x^2-y^2$. We will study the level curves $c=x^2-y^2$. First, look at the case $c=0$. The level curve equation $x^2-y^2=0$ factors to $(x-y)(x+y)=0$. This equation is satisfied if either $y=x$ or $y=-x$. Both these are equations for lines, so the level curve for $c=0$ is two lines.

  9. People also ask

  10. math.libretexts.org › Bookshelves › Calculus13.1: Functions of Several Variables - Mathematics LibreTexts

    Nov 17, 2020 · The graph of a function of two variables is a surface in \(\mathbb{R}^3\) and can be studied using level curves and vertical traces. A set of level curves is called a contour map.