8.1 Arc Length.

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Presentation transcript:

8.1 Arc Length

Arc Length: if f is continuous on [a, b], then the length of the curve y = f(x) , a ≤ x ≤ b, is

Ex 1: Find the length of the arc of the curve, Ex 1: Find the length of the arc of the curve, y2 = x3 between the points (1, 1) and (4, 8).

Ex 2: Find the length of the arc of the curve, x = y2 between the points (0, 0) and (1, 1).

Arc Length Function:

3

8.1 pg. 546 #1, 3, 5 – 17 EOO, 19, 21

Ex 3: Set up the integral for the length of the arc of the hyperbola xy = 1 from the point (1, 1) to (2, ½). Use your calculator to evaluate. 4