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MATHEMATICA MATHEMATICA Exercise 2. Answer the following based on this equation: x=y^2 -z^2. 2a. What shape are the traces of this surface parallel to the
MATHEMATICA
MATHEMATICA
Exercise 2. Answer the following based on this equation: x=y^2 -z^2. 2a. What shape are the traces of this surface parallel to the xy-plane? the yz-plane? the xz-plane? To obtain traces in the xy-plane, set z=k for some constant k and see what curves you get. For the yz-plane, set x=k for some constant k and see what curves you get. The xz-plane is similar. 2b. Based on the signs of A and B and the powers of x,y, and z, what surface do you expect from this equation? 2c. Check by plotting the surface in Mathematica.
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