(Steps Shown) Suppose f[x_0, y_0]>f[x, y] for all other x, y near x_0, y_0 . If you center a small circle C at x_0, y_0, do you expect that the net flow


Question: Suppose \(f\left[x_{0}, y_{0}\right]>f[x, y]\) for all other \(\{x, y\}\) near \(\left\{x_{0}, y_{0}\right\} .\) If you center a small circle \(C\) at \(\left\{x_{0}, y_{0}\right\}\), do you expect that the net flow of \(\operatorname{gradf}[x, y]\) across \(C\) is from

  1. inside to outside
  2. outside to inside explain:

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