23 Level Curves and Contour Maps Let = ( , ) be a function whose graph is a surface in 𝑅3 Suppose this graph is intersected by a plane =𝑘, parallel to the xyplane This is equivalent to holding z constant and reducing the equation into an implicit function of x and y only—ie written ( , )=𝑘Figure 16 shows both sets of level curves on a single graph We are interested in those points where two level curves are tangent—but there are many such points, in fact an infinite number, as we've only shown a few of the level curvesAdd a Calculator application to a TINspire document and enter the following Solving z = f(x;y) succeeded and there are two solutions which can be used to create lists of functions to plot the level curves Step 2 Graph z = f(x;y) and use the menu item Trace zTrace to determine the
Visualizing Level Curves Geogebra
