Question

Find the length of the curve ;

r(t)=<2t^3/2 , cos(2t) , sin(2t)>,

0<= t <= 3

Answer 1

I recall a formula for this, something to do with arclengths

Answer 2

Im really sorry , i cant remember the formula.....Anyone can help me....??

Answer 3

http://tutorial.math.lamar.edu/Classes/CalcII/PolarArcLength.aspx

Answer 4

Does anyone can give me the solution please.....

Answer 5

try http://wolframalpha.com

Answer 6

Is this correct http://www.wolframalpha.com/input/?i=Find+the+length+of+the+curve+%3B++r%28t%29%3D%3C2t%5E3%2F2+%2C+cos%282t%29+%2C+sin%282t%29%3E%2C++0%3C%3D+t+%3C%3D+3

Answer 7

Definitely not; seems wolframalpha didn't parse your input correctly.

Answer 8

\[L=\int\limits_0^3\sqrt{x'(t)^2+y'(t)^2+z'(t)^2}dt\]

Answer 9

I still have no clue.....sry....

Answer 10

\[x=2t^{3/2},x'=3t^{1/2}\]\[y=\cos{2t},y'=-2\sin{2t}\]\[z=\sin{2t},z'=2\cos{2t}\]