arc_length_slides

arc_length_slides - 2 a b ! dx Length of a curve x=g(y) for...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Length of a smooth curve Summary of Sections 9.1 and 11.2
Background image of page 1

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

View Full DocumentRight Arrow Icon
3 ways to represent a smooth curve Graph of a differentiable function y=f(x) for a x b Graph of a differentiable function x=g(y) for c y d Parametric Equations : x=x(t) for t 1 t t 2 y=y(t) (for some differentiable functions x(t) and y(t))
Background image of page 2
Length of a curve y=f(x) for a x b L = 1 + ( f '( x )) 2 a b ! dx = 1 + dy dx " # $ %
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2 a b ! dx Length of a curve x=g(y) for c y d L = 1 + ( g '( y )) 2 c d ! dy = 1 + dx dy " # $ % & 2 c d ! dy d c x = g(y) Length of a curve given in parametric equations: x=x(t), y=y(t) for t 1 t t 2 L = dx dt ! " # $ % & 2 + dy dt ! " # $ % & 2 t 1 t 2 dt t 2 =1 t 1 =-1 (x(t),y(t))...
View Full Document

This note was uploaded on 12/07/2010 for the course MATH MATH 2B taught by Professor Famiglietti,c during the Fall '09 term at UC Irvine.

Page1 / 5

arc_length_slides - 2 a b ! dx Length of a curve x=g(y) for...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online