1 what do we mean by the gradient of a scalar function2, Ask an Expert

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1. What do we mean by the gradient of a scalar function?

2. What does the divergence of a vector signify?

3. What is the significance of the curl of a vector?

4. Which equations will you use to check if a vector is (a) continuous, (b) solenoidal, (c) rotational, (d) irrotational, and (e) conservative? Give some real-life examples for each case.

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