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Question: 1 a unit magnitude vector field f is shown in...

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1. A unit magnitude vector field, F, is shown in the square, [-1,1]x[-1,1] (a) F can not be continuous at (0,0). Give at least four distinct reasons why this is true (b) Can F be differentiable at every point, except at (0,0)? Carefully explain your answer (c) How might the magnitude of F be simply modified so that it represents a fluid flow? Explain why your modification is necessary

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