9. Find the tangential component aT and normal component aN for the curve given by r(t) 3ti - tj + tk. 10. Let a(t) 2ti + e'j+ cos (t) k denote the acceleration of a moving particle. If the initial v(0)= i+2j- k, find the particle's velocity v(t) at any time t. V2-x In(-1) (a) Find the domain of f (x, y) H (b) Sketch the graph of f(x, y) = 6-x-2y. Find the limit of show it does not exists. 4 (a) lim (x,y)(0,0) y8 (b) ry y lim 1)2 +y (a.y)(1,0) ( cu ve, then the arc length is always increasing, so s' (t)> 0 for t > a. Last, if )= 1 for all t, then st) Il r'(u) l du = sents the arc length as long as a = 0 a 1 du = t- a,

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