Question

Need help asap

consider a particle that moves through the space with a trajectory given by the vector function.
r(t)=( ln(t) ,, (2sqr(2)/3)(t^(3/2)) ,, ((1/3)(t^3)) )

a)find vector function r'(t) and r"(t)
b) arc length from t=1 to t=2
c) unit tangent vector, unit normal vector and binomal vector

any help would be very appreciated.

Answer 1

Hmm, ok let's get the easy part out of the way first.