?(a) Write the definition of the line integral of a scalar function f along a smooth

Chapter 16, Problem 3

(choose chapter or problem)

(a) Write the definition of the line integral of a scalar function f along a smooth curve C with respect to arc length.

(b) How do you evaluate such a line integral?

(c) Write expressions for the mass and center of mass of a thin wire shaped like a curve C if the wire has linear density function (x, y).

(d) Write the definitions of the line integrals along C of a scalar function f with respect to x, y, and z.

(e) How do you evaluate these line integrals?

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