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6. Solving the gradient equation Vf = (a) In your own words, discuss why the convexity of the region is necessary in our solution.

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6. Solving the gradient equation Vf = (a) In your own words, discuss why the convexity of the region is necessary in our solution. (b) Why is the function f which we constructed well-defined? That is, why does it make sense as a function f: R?

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