Question

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. :
Point P(9, 0, 2)
x=1+8√(t)
y=t^3 - t
z= t^3 + t

Answer 1

\[T(x(t),y(t),z(t))=\frac{r'(t)}{|r(t)|}\]
Now, you need to find t. this involves solving
9=1+8 root(t)
0=t^3-t
2=t^3+t
then compute T, and your line is now T(t)