Hello,

I was just wondering if my solution to the following question looks good, if so, do I set

r'(t) = 1 and solve for t? Can anyone help???

Finding the Unit Tangent Vector to the curve give:

r(t) = (6+10t^7)i+ (6+11t^7)j+(6+2t^7)k

r ' (t)= 70t^6i+77^6j+14t^6k= 70t^6

Unit Tagent Vector:

T(t)= r'(t) / ll r' (t) ll

i+77^6j+14t^6k /sqrt{ (70t^6i)^2 +(77^6j)^2 + (14t^6k)^2 }

=70t^6i+77^6j+14t^6k /sqrt { 4900t^12 i + 5929t^12 + 196t^12) }

* Now I am pretty sure I solve for t if my arithmetic is correct!?!?!