Find the following limit. Enter your answer as an ordered triple (a, b, c). If the limit Let r(t) be a space curve. Find a point (x, y, z) on the curve r(t) that marks out a length of does not exist, enter DNE. 37 V14 units of the curve starting from (7,8,0). Leave coordinates in exact form, no decimals. 4 r(t) =, t20 limt o e-7ti + sin ( t)j + cos(3t)k Find the equation of the osculating circle to the planar curve f (x) = 5 - 3x2 at the Two particles travel in IR3 along paths given by the space curve 5 point (0, 5). ri(t) =, r2(t) = Expression I Do the particles collide? If they do collide, give the parameter t for which they collide. If they do not collide, enter 1000. 3 Suppose a, b, c are constants where a, b, c 2 0, (ab)2 + c2 # 0. Find the curvature of the space curve r(t) at t = 42. r(t) =