Suppose that a particle moves along a coordinate line in such a way that its position is described by the function s(t) = 13 – +2 +3 for 0<t<2. Find the particle's velocity as a function of t: v(t) = Determine the open intervals on which the particle is moving to the right and to the left: Moving right on: Moving left on: Find the particle's acceleration as a function of t: a(t) = Determine the open intervals on which the particle is speeding up and slowing down: Slowing down on: Speeding up on: NOTE: State the open intervals as a comma separated list (if needed). (1 point) If x belongs to the interval [0, 21), at which values of x does the tangent to the curve y = cos x have a slope of 1? x belongs to the interval [0, 21), at which values of x does the tangent to the curve y = cos x have a slope of Type answer as x = c, where c is constant. For multiple answers, separate with a comma. For example, x = 1,x = 2