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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 arclength 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]
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