Question: 1. Consider C3 : y 1 = z 2 . a.) Sketch the graph of the right cylinder with directrix C3. b.) Find the equation

1. Consider C3 : y 1 = z2 .

a.) Sketch the graph of the right cylinder with directrix C3.

b.) Find the equation and sketch the graph of the surface generated by C3, revolved about the z-axis.

2. 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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