Ask your own question, for FREE!
Mathematics 101 Online
OpenStudy (anonymous):

Find the length of the curve given by r (t) = ((2^0.5)/2) t)i+(e^t/2)j+(e^−t/2)k, where −2 =< t =< 7.

OpenStudy (anonymous):

okay - so let me take a shot at it. Since you are given a function r(t) in terms of all vector component, what needs to be done is to take partial derivatives of each components in terms of t. Then square each terms and add them, put the sum of squared partials under square root and integrate over the range of t then that should be the length of your curve.

OpenStudy (anonymous):

i did that and got ((1/2)+(1/4)e^t+(1/4)e^-t )^(1/2) so i have to integrate that.

OpenStudy (anonymous):

that would be something like... \[s = \int\limits_{t_{i}}^{t_{f}} \sqrt((\delta x/\delta t)^2 + (\delta y/\delta t)^2 + (\delta z/\delta t)^2)) dt\]

OpenStudy (anonymous):

something along this line

OpenStudy (anonymous):

be sure that dt is not under square roots

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: science help
8 minutes ago 2 Replies 0 Medals
Gucchi: science help
10 minutes ago 4 Replies 2 Medals
Gucchi: environmental science help
14 minutes ago 11 Replies 2 Medals
prettygirl15: ac=-3+6x,ab=3x-3, and bx = 9 find x
45 minutes ago 1 Reply 0 Medals
Nymonka09744: Looking for friends
1 hour ago 19 Replies 3 Medals
SwaggyMark: yoo lemme gets some help cuhs
1 hour ago 21 Replies 0 Medals
Krissy525: What is a chrysanthemum? @ShoaibChaudry
1 hour ago 10 Replies 1 Medal
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!