- #1

- 59

- 2

## Homework Statement

I have attached a picture of the problem in the attachments

I need help on the last section, (part d)

## Homework Equations

(1)##∫√( (dx/dt)^2+(dy/dt)^2)dt##

(2)##∫√( 1+(dy/dx)^2)dx##[/B]

## The Attempt at a Solution

In order to get the answer we just need to find the arc-length of the position curve which could be done using the first equation. However, instead of using the first equation I divided ##dy/dt## by ##dx/dt## to find ##dy/dx##. Using dy/dx I plugged it into the second equation and got a different answer. Why is that so? Shouldn't they both yield the same answer? For both equations I used from 2 to 4 as the limits of integration.

Thanks[/B]