MATH 1ZC3 Lecture Notes - Lecture 1: Problem Set, Rotational Symmetry, Symmetric Graph
13 Oct 2016
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A brief note on identifying 3d graphs (special thanks to maple 14 software for providing the software to construct the graphs) When identifying graphs, there are a variety of things you can check for. But there are several things that are often easy to identify which we can look for: cross-sections: For example, if we look at the function z x e cos(10 ) y setting the x (and thus the exponential) to a constant gives us: z c cos(10 ) y. These of course are cosine waves, of various amplitudes. Our graph should oscillate in the y direction. Similarly, if we fix y, we get the cosine becomes a constant, and our equation reduces to: z ce x. Which of course corresponds to exponential functions which expand off to plus or minus infinity as x becomes large positive, and 0 and x becomes large negative.
