1 / 8

8.1 Arc Length

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, y 2 = x 3 between the points (1, 1) and (4, 8). Ex 2 : Find the length of the arc of the curve,

kuame-simon
Download Presentation

8.1 Arc Length

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 8.1 Arc Length

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

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

  4. Ex 2: Find the length of the arc of the curve, x = y2between the points (0, 0) and (1, 1).

  5. Arc Length Function:

  6. 3

  7. 8.1 pg. 546#1, 3, 5 – 17 EOO, 19, 21

  8. 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

More Related