9. [-/1 Points] DETAILS MARSVECTORCALC6 2.4.017. MY NOTES Determine the equation of the tangent line to the given path at the specified value of t. (Enter your answer as a comma-separated list of equations in (x, y, z) coordinates.) (sin(7t), cos(7t), 2t⁹/²); t = 1 (sin (7), cos(7),2) + (t− 1) (7 cos(7), — 7 sin(7)) Your answer cannot be understood or graded. More Information Viewing Saved Work Revert to Last Response Submit Answer 11. [3/4 Points] DETAILS PREVIOUS ANSWERS The position vector for a particle moving on a helix is c(t) = (5 cos(t), 3 sin(t), t²). (a) Find the speed of the particle at time to = 47. √9+647² (b) Is c'(t) ever orthogonal to c(t)? O Yes, when t is a multiple of π. Yes, when t 0. O No (c) Find a parametrization for the tangent line to c(t) at to = 47. (Enter your answer as a comma-separated list of equations in (x, y, z) coordinates.) (x=5y3t,z = 16² +8nt) here I this intersect the xy-plane? (x, y, z)=(5,-24, 0 ) X (d) MARSVECTORCALC6 2.4.023. M