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Consider the surface described by x 2 /4 +y 2 z 2 = 1 Describe the traces of the surface in the following planes (first

Consider the surface described by x²/4 +y² z² = 1 Describe the traces of the surface in the following planes (first write out the equation of the trace, the state what shape it is):

(a) z = 1.

(b) xz-plane

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