Ask your own question, for FREE!
Mathematics
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
RikeyahF: What is the scale factor for this dilation A- 1/2 B- 2 C 1/3 D 1/4
1 minute ago 0 Replies 0 Medals
SimpStar: omg- I need h e l p - WITH BBCODE SOMEONE H E L P-
15 seconds ago 6 Replies 0 Medals
RikeyahF: X^2=6
5 minutes ago 8 Replies 0 Medals
dinonuggets12: dumb boy by ENISA sorry i suck at singing
15 minutes ago 7 Replies 0 Medals
Skrt: I just been suicidal lately.. like Honestly what is life..?
18 minutes ago 11 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!