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Arc length arises naturally - PowerPoint PPT Presentation

VECTOR FUNCTIONS

10. VECTOR FUNCTIONS. VECTOR FUNCTIONS. 10.3 Arc Length and Curvature. In this section, we will learn how to find: The arc length of a curve and its curvature. PLANE CURVE LENGTH.

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13.3

13.3. Arc Length and Curvature. Arc Length:. As studied in Calc 2:. Leibniz notation. Arc Length: plane curve (2D). If we parametrize y = f(x) as follows: x = t , y = f ( t ), a ? t ? b , then the arc length is: L = =

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Section 14.3

Section 14.3. Arc Length and Curvature. ARC LENGTH. Let a space curve C be given by the parametric equations x = f ( t ) y = g ( t ) z = h ( t )

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Arc length arises naturally - PowerPoint PPT Presentation

VECTOR FUNCTIONS

13.3

Section 14.3