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We consider the surface described by the following equation in rectangular coordinates: 4y2 +9z2 36x+16y90z+277=0. (a) Put the equation in standard form and identify the

We consider the surface described by the following equation in rectangular coordinates: 4y2 +9z2 36x+16y90z+277=0.

(a) Put the equation in standard form and identify the type of surface. (2) (b) Find the trace of the given surface in the plane y =

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