Ask your own question, for FREE!
Mathematics 67 Online
OpenStudy (anonymous):

Find the length of the curve y=((x^6)+8)/16x^2) from x=2 to x=3

OpenStudy (anonymous):

Have you ever heard about arc length?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Tell us more, what is the formula?

OpenStudy (anonymous):

arc length=\[\int\limits_{a}^{b}1+(dy/dx)^2\]

OpenStudy (anonymous):

You're brilliant. What is the derivative of\[(x ^{6}+8)/(16x ^{2})\]

OpenStudy (anonymous):

\[(64x^7+256)/(256x^4)\]

OpenStudy (anonymous):

its easy lol , why did u ask

OpenStudy (anonymous):

OK Ramo, one more time pull up the arc length formula and stick this number the derivative where you see dy/dx

OpenStudy (anonymous):

alright after i plug it into the formula to get \[\int\limits_{2}^{3}1+((64x^7+256)/(256x^4)^2dx\]

OpenStudy (anonymous):

Like my tutor like to say: "You have to clean it up." The square goes through the top and the bottom. The bottom is easy, just plug 256 in calculator and square it. (x^4)^2 just multiply 2x4. The top is, oh well, back to college algebra, sum of two squares.

OpenStudy (anonymous):

awesome thanks so much :)

OpenStudy (anonymous):

Might be a mistake in the numerator. Show us again where you went from original problem to derivative.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Gucchi: was wondering where the activation energy or Ea would go. chem help
46 minutes ago 12 Replies 3 Medals
XxXGhostXxX: Help me
3 hours ago 10 Replies 6 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!