Question: The position vector for a particle moving on a helix isc(t)=(5cos(t),5sin(t),t2). Find the speed s(t0)of the particle attime t0=11.(Express numbers in exact form. Use symbolic

The position vector for a particle moving on a helix isc(t)=(5cos(t),5sin(t),t2). Find the speed s(t0)of the particle attime t0=11.(Express numbers in exact form. Use symbolic notation and fractions where needed.)s(t0)=1Find parametrization for the tangent line at time t0=11.Use the equation of the tangent line such that the point of tangency occurs when t=t0t for the parameter that takes all real values. Simplify all trigonometricexpressions by evaluating them. Express numbers in exact form. Use symbolic notation and fractions as needed.l(t)=Where will this line intersect the xy(*,*,*). Express numbers in exact form. Use symbolic notation and fractions where needed.

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