Question

Find the length of the given curve.
r(t)=(5t,-2sin t, -2cos t) where -2 14 years ago

Answer 1

x(t)=5t,y(t)=-2sint,z(t)=-2cost
length of x(t) for given limits=[integrating from -2 to 3]sqrt(dx^2+dt^2)
=[integrating from -2 to 3]sqrt(26)*5 dt=25sqrt(26)
same procedure you can do with y(t) and z(t) . After that you will get a vector take it's length you will get your answer