Question: Consider the equation aX ^ 2 + Y ^ 2 + Z ^ 2 = b . Determine the value ( s ) of the

Consider the equation aX^2+ Y^2+ Z^2= b. Determine the value(s) of the constants a and b that could be used to make each of the following surfaces (note that it may be necessary to
express some answers as inequalities). If the surface cannot be made, say so:
a. Ellipsoid
b. Paraboloid
c. Circular Cylinder
d. Cone
e. Hyperboloid of One Sheet
f. Hyperboloid of Two Sheets
please show work.

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