If V (x, y) is the electric potential at a point (x, y) of the xy plane, then the level curves of V are called equipotential curves, so that at all points on this curve the electric potential is the same. Find the range of V and the level curves of the following function:

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If V (x, y) is the electric potential at a point (x, y) of the xy plane, then the level curves of V are called equipotential curves, so that at all points on this curve the electric potential is the same. Find the range of V and the level curves of the following function:

18
V(x, y)
9-a²-y²
Transcribed Image Text:18 V(x, y) 9-a²-y²
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