The position vector for a particle moving on a helix is c(t) = (5 cos(t), 5 sin(t), t²) . Find the speed s(to) of the particle at time to = 11n. (Express numbers in exact form. Use symbolic notation and fractions where needed.) s(to) = Find parametrization for the tangent line at time to = 11a. Use the equation of the tangent line such that the point of tangency occurs when t = to. (Write your solution using the form (*,*,*). Use t for the parameter that takes all real values. Simplify all trigonometric expressions by evaluating them. Express numbers in exact form. Use symbolic notation and fractions as needed.) 1(t) = Where will this line intersect the xy-plane? (Write your solution using the form (*,*,*). Express numbers in exact form. Use symbolic notation and fractions where needed.) point of intersection: