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CalculusCalculus10th Edition

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Chapter 12.5, Problem 59E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem
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57095-12.5-59E-Question-Digital.docx

Arc 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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Sect-12.1 P-1ESect-12.1 P-2ESect-12.1 P-3ESect-12.1 P-4ESect-12.1 P-5ESect-12.1 P-6ESect-12.1 P-7ESect-12.1 P-8ESect-12.1 P-9ESect-12.1 P-10E
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