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Summer Session 11
August 8
Construct the portion of the cylinder x2
+ y2 = 1 lying between the planes z = 0 and z = 1 + x.
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Describe how two pipes of the same size are joined
perpendicularly.
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Construct two pipes joined as thus:
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Describe how three pipes are symmetrically joined.
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Wrap the graph of y = cos 2x around a cylinder.
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Wrap the graph of y = cos 3x around a cylinder.
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Construct the graph of z = x2 - y2
above the unit circle.
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Construct the monkey's saddle given by z = x3
- 3xy2 above the unit circle.
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Construct this model:
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Construct this model:
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Describe how 8 identical pipes are joined together
symmetrically.

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Describe how six identical pipes are joined together
symmetrically.
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Describe how 12 identical pipes are joined together
symmetrically.

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Describe how 4 identical pipes are joined together
symmetrically.
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