Suppose the vector-valued function r(t) = (f(t),g(t),h(t)) is smooth on an interval containing the point to....

Transcribed Image Text:

Suppose the vector-valued function r(t) = (f(t),g(t),h(t)) is smooth on an interval containing the point to. The line tangent to r(t) at t = to is the line parallel to the tangent vector r' (to) that pas hrough (f(to),g (to).h (to)). For the following function, find an equation of the line tangent to the curve at t = to. Choose an orientation for the line that is the same as the direction of r'. = (St-1,8t+4,2),b=1 Choose the correct answer below. A. (2+8t,4+5t,1 + 12t) OB. (4+5t,12+8t,1 + 2t) OC. (1+8t,4+2t,12+ 5t) D. (4+2t, 12+ 5t,1 + 8t) Suppose the vector-valued function r(t) = (f(t),g(t),h(t)) is smooth on an interval containing the point to. The line tangent to r(t) at t = to is the line parallel to the tangent vector r' (to) that pas hrough (f(to),g (to).h (to)). For the following function, find an equation of the line tangent to the curve at t = to. Choose an orientation for the line that is the same as the direction of r'. = (St-1,8t+4,2),b=1 Choose the correct answer below. A. (2+8t,4+5t,1 + 12t) OB. (4+5t,12+8t,1 + 2t) OC. (1+8t,4+2t,12+ 5t) D. (4+2t, 12+ 5t,1 + 8t)