Visualizing 3-D Graphs through Level Curves

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Edits:

at about 6:18... I mixed up which axis is which... the red one is the x-axis and the green is the y-axis.

at about 7:56... When looking from above with this graphing calculator, it looks like the domain is a circle. Clearly that is not the case. It just appears that way because they could not make the bowl infinitely tall, so it had to be cut off somewhere.
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