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Consider the surface (elliptic cone) y2= x2+ 4z2. (a) Sketch the two coordinate traces corresponding to...

Consider the surface (elliptic cone) y2= x2+ 4z2.

(a) Sketch the two coordinate traces corresponding to x= 0 and z= 0 in R3.

(b) Sketch the trace y= 4.

(c) For any positive number k describe the trace y=k.

(d) Sketch the graph of the surface y2= x2+ 4z2.

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