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(1) Sketch the given surfaces ( for Question (a) and (b) graph x=0, y=0 and z=2...

(1) Sketch the given surfaces ( for Question (a) and (b) graph x=0, y=0 and z=2 traces)

(a) x2-4y2=z

(b) y2-4x2-z2=4

(2) state the type of the quadric surface and describe the trace obtained by intersecting with the given plane.

(x/2)2+(y/5)2-5z2=1, x=0

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