This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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....
View
Full Document
 Fall '11
 Ma'amZapanta
 Calculus, Trigraph, Parametric equation, a. rectangular coordinates

Click to edit the document details