3D and Contour Grapher A graph in 3 dimensions is written in general z = f(x, y)That is, the zvalue is found by substituting in both an xvalue and a yvalue The first example we see below is the graph of z = sin(x) sin(y)It's a function of x and y You can use the following applet to explore 3D graphs and even create your own, using variables x and yGraph 6x 3y – 4z = 12 The xintercept is where the plane passes through the xaxis, and so y = 0 and z = 0 6x 3(0) – 4(0) = 12 6x = 12 x = 2 Then we find the yintercept 6(0) 3y – 4(0) = 12 3y = 12 y = 4 And finally the zintercept 6(0) 3(0) – 4z = 124z = 12 z = 3 The intercepts are (2, 0, 0), (0, 4, 0), and (0, 0, 3) Connect them up inside the graphing cube After that, we are plotting the graph with the above points, and later we are showing the figure containing the 2 3D graphs Key 3D Plots using Matplotlib (X,Y,Z) we are creating a contour plot with the following range of values After that, we define the 2nd plot of the same size A filled contour plot does not require a meshgrid It can
Surfaces Part 2
