Question: The position vector for a particle moving on a helix is e(f) = (5 cos(t), 5 sin(t), t) . Find the speed s(t) of the

The position vector for a particle moving on a helix is e(f) = (5 cos(t), 5 sin(t), t\") . Find the speed s(t) of the particle at time tg = 77. (Express numbers in exact form. Use symbolic notation and fractions where needed.) Find parametrization for the tangent line at time to = 77. Use the equation of the tangent line such that the point of tangency occurs when t = fo. (Write your solution using the form (*,*,*). Use 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.) w=

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