Ie the level curves of a function are simply the traces of that function in various planes z = a, projected onto the xy plane The example shown below is the surface Examine the level curves of the function In this video we're going to talk about how to find the level curves both graphically (by looking at a picture of the threedimensional figure) and algebraically, by replacing z in the multivariable function with a constant c, and then substituting different values for c in order to get equations that are in terms of x and y only and can Here is a set of notes used by Paul Dawkins to teach his Calculus III course at Lamar University Topics covered are Three Dimensional Space, Limits of functions of multiple variables, Partial Derivatives, Directional Derivatives, Identifying Relative and Absolute Extrema of functions of multiple variables, Lagrange Multipliers, Double (Cartesian and Polar coordinates) and Triple
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