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Unformatted text preview: = + = + Ă· Ă· Ă· Ă· â« LENGTH OF AN ARC A. Rectangular Coordinates f(x) y , 1 2 = + = dx dx dy ds g(y) x , dy dy dx 1 ds 2 = + = B. Parametric Form dt dt dy dt dx ds 2 2 + = when x=x(t), y=y(t); where t is a parameter 1. 2. C. Polar Coordinates f(r) , dr dr d r 1 ds 2 2 = Îž Îž + = ) g( r , d d dr r ds 2 2 Îž = Îž Îž + = 2. 1. EXAMPLE Find the length of the arc of each of the following: 2 3 3 3 t y t t x == 1. from t = 0 to t = 1 2. t e y t e x t t sin cos = = from t = 0 to t = 4 4. Length of the arc of the semicircle 2 2 2 a y x = + 3. HW #3 Find the exact arc length of the curve over the interval....
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This note was uploaded on 10/19/2011 for the course MATH 22 taught by Professor Ma'amzapanta during the Fall '11 term at MapĂșa Institute of Technology.
 Fall '11
 Ma'amZapanta
 Calculus

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