Question

Find the curvature κ(t) of the curve X (t) = ( −4 sint )I + ( −4 sint ) j + ( 3 cost ) K
???

Answer 1

make ur question clear

Answer 2

This question is crystal clear k(t) is nothing more than 1/|v|(|dT/dt)|
ill do a very easy example
r(t)=(cos(t)i+(sin(t))j
r'(t)=(-sin(t))i+(cos(t))j
|r'(t)|=1
r'(t)/|r'(t)|=(-sin(t))i+(cos(t))j=T
d/dt(T)=(-cos(t))i+(-sin(t))j
|dT/dt|=1
k(t)=1/1(1)=1