Calculus2.3

# Calculus2.3 - Section 6.4: Arc Length Elementary geometry...

This preview shows pages 1–8. Sign up to view the full content.

Section 6.4: Arc Length

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Elementary geometry doesn’t help to find the length of a curve that wiggles like this. So, let’s break it into pieces we can work with.
Arc Length: 2 2 2 x s y  y x 22 s y x 2 2 2 1 x x y    2 1 y x x : y dy Idea x dx * Reason MVT '( ) k dy fx dx      2 1' b a f x dx

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
f (x) = sinx, 0 x    2 0 1 cos x dx
2 f (x) = x on [0,3]   3 2 0 12 x dx Or, f (y) = on [0,9]

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This document was uploaded on 10/27/2011 for the course MATH 1352 at Texas Tech.

### Page1 / 8

Calculus2.3 - Section 6.4: Arc Length Elementary geometry...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online