Let a, b = R with a < b and y: [a, b] → R² be a differentiable parametric curve. Determine which of the following statements are true or false. If false, give a counterexample. If true, briefly explain why. (1a) Suppose ||y'(t)|| > 0 for all t = (a, b) and that ||y'(t)|| is not constant. Then N(t) and y"(t) are not parallel. (1b) Suppose [a, b] = [0,6]. If y(t) is the position of a particle at t seconds, then ||y(4)-y(2)|| is the distance the particle travels between 2 and 4 seconds.