1. Let C : R(t) for t ? [a, b] be a piece wise smooth curve in Rn. Let f : D ? Rn ? R be a scalar...

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1. Let C : R(t) for t ? [a, b] be a piece wise smooth curve in Rn. Let f : D ? Rn ? R be a scalar valued function defined on a domain D which contains the curve C . Assume that f is (piece wise) continuous and bounded on the curve C . Then the scalar line integral of f over the curve C is defined as  2.Find the curl and the divergence of the following vector fields.

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1. Let C : R(t) for t ? [a, b] be a piece wise smooth curve in Rn. Let f : D ? Rn ? R be a scalar valued function defined on a domain D which contains the curve C . Assume that f is (piece wise)...

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