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CalculusQ&A Library(a) Write the definition of the line integral of a scalar function along a smooth curve with respect to arclength.(b) How do you evaluate such a line integral?(c) Write expressions for the mass and center of mass of athin wire shaped like a curve if the wire has lineardensity function .(d) Write the definitions of the line integrals along of ascalar function with respect to , , and .(e) How do you evaluate these line integrals?Start your trial now! First week only $4.99!*arrow_forward*

Question

(a) Write the definition of the line integral of a scalar function along a smooth curve 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 if the wire has linear

density function .

(d) Write the definitions of the line integrals along of a

scalar function with respect to , , and .

(e) How do you evaluate these line integrals?

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Calculus

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