Question

Consider the surface given by
2x^2+5y^2+z^2=4.
The surface is sliced by planes of the form x=a, y=b or z=c for values of a, b, c given below. How do I match the resulting slices (in other words, the corresponding traces) with their correct plots??

Answer 1

-- Also the slices are:
1. z= 1.5
2. x= 1
3. z=0
4. y=0

Answer 2

Let the value take that on. If you let z be zero we get:
2x^2+5y^2=4
(1/2)x^2+(5/4)y^2=1 which is an ellipse in the x-y plane. They all do something similar. Gotta remember conics.