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Please include explanations. Consider the surface S : 4x 2 + y 2 9z 2 = 36 a. Identify the type of graph of S.

Please include explanations.

Consider the surface S : 4x² + y² 9z² = 36

a. Identify the type of graph of S.

b. Write the equations of the traces of S on the coordinate planes and on planesz=23 and z=23. Identify these traces.

c. Sketch the graph of S. Label important points.

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Please include explanations. Consider the surface S : 4x 2 + y 2 9z 2 = 36 a. Identify the type of graph of S.