Hyperboloid of one sheet.
a) Describe an object that matches the cylinder or quadric surfaces.
b) Build or model the surfaces with gridlines.
c) Sketch a 3D graph using graphing tools.
d) Write an equation that describes the object's surface.
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Step-by-step explanation:
The first surface we’ll examine is the cylinder. Although most people immediately think of a hollow pipe or a soda straw when they hear the word cylinder, here we use the broad mathematical meaning of the term. As we have seen, cylindrical surfaces don’t have to be circular. A rectangular heating duct is a cylinder, as is a rolled-up yoga mat, the cross-section of which is a spiral shape.
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