Question

need some help plz !
well fan+medal !
what is the meaning of
\(\Huge \color{red}{g(w)=r(t_0) +w r'(t_0)} \)
at a point \(t_0\)

Answer 1

i tried to think about it geometrically
but i got nothing !
i tried this example
\(r(t)=< a \sin t ,a \cos t>\)

Answer 2

that jut gives the tangent equation with w as parameter

Answer 3

for different values of "w", u wil get different points on that tangent line

Answer 4

yes !!
i see it now !!

Answer 5

good :)

Answer 6

thank you ! :)