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How to plot projections of a 3D surface onto coordinate planes?

For the function $F=F(x,y)$, we can plot the function in 3-dimensions by choosing $z=F(x,y)$ which represents a surface. I require to plot the following projections:

  1. The projection of the surface $F(x,y)$ on the $xz$-plane and on the $yz$-plane.
  2. The projection of the extremas of $F(x,y)$ on the $xz$-plane and on the $yz$-plane.

I am new to SageMath and learning the basics. Can someone help me how to plot the projections?