   Chapter 12.5, Problem 59E

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# 57095-12.5-59E-Question-Digital.docxArc Length Give the formula for the arc length of a smooth curve in space.

To determine

The formula for the arc length of smooth curve in space.

Explanation

Let is consider the smooth space curve named D between p and q. The vector equation of curve is,

r(t)=x(t) i + y(t) j + z(t) k

Take the modulus of r(t). That is r(t)

r(t)=[x(t)]2+[y

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