Suppose that the water flow of a local river can be modeled by the vector field F(x, y, z) =< 3xy², xe², z³ >:
Q1a) Your goal is to plant a net in the water at the point (-2, 1, 0) and go fishing but you need to know some important information about that spot before you make your final decision.Determine any and all information you can about what’s going to happen to your net if you place it at that point. Will it spin? What direction will it rotate (if it even will)? How fast? Is the water centralizing at your net (and thus making it a good place to put it to catch fish), or is water flowing away from that area? Is it moving fast? Slow? Write out a complete answer, supported by any/all mathematical calculations used to come up with your conclusions.
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