Mind checking my solution anyone? I worry that I may have left out a step because the given coordinates include both x and y values.

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- Jun 24th 2012, 07:16 PMandvaka[SOLVED] Arc Length Problem, check my answer?
Mind checking my solution anyone? I worry that I may have left out a step because the given coordinates include both x and y values.

- Jun 24th 2012, 07:19 PMProve ItRe: Arc Length Problem, check my answer?
Where is your solution? And your question, for that matter?

- Jun 24th 2012, 07:27 PMandvakaRe: Arc Length Problem, check my answer?
My bad! Both are in the attachment.

- Jun 24th 2012, 07:37 PMProve ItRe: Arc Length Problem, check my answer?
Your derivative is incorrect. If $\displaystyle \displaystyle \begin{align*} y = \frac{x^4 + 3}{6x} \end{align*}$, this simplifies to $\displaystyle \displaystyle \begin{align*} y = \frac{1}{6}x^3 + \frac{1}{2}x^{-1} \end{align*}$, not $\displaystyle \displaystyle \begin{align*} \frac{1}{6x^3} + \frac{1}{2}x^{-1} \end{align*}$...

- Jun 24th 2012, 07:42 PMandvakaRe: Arc Length Problem, check my answer?
That aside, did I use the relationship properly when I just plugged in the x values from the coordinates provided for the definite integral?

- Jun 24th 2012, 07:53 PMProve ItRe: Arc Length Problem, check my answer?
Your logic seems correct. Now you need to fix the mistake, solve the integral and evaluate the price.