The position vector for a particle moving on a helix is c(t)=(2cost,2sint, t2)c(t)=(2cost,2sint, t2). find the speed s(t0)s(t0) of the particle and parametrization for the tangent line at time t0=πt0=π. where will this line intersect the xyxy plane? use the equation of the tangent line such that the point of tangency occurrs when t=t0t=t0 (this is the version given in the e-book between examples 7 and 8 in section 12.1). (use symbolic notation and fractions where needed. ) s(t0)s(t0) = . (use tt for the parameter that takes all real values. simplify all trig expressions by evaluating them.) l(t)l(t) = ,