# Z x 2 y 2 z 6 y y x 2 x 2 8 y 2 8 z 2 64 x t y t z t

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z = x 2 + y 2 z = 6 y = x + y 2
x 2 + 8 y 2 + 8 z 2 = 64 .
( x ( t ), y ( t ), z ( t )) = t , t 2,√− t 4− t 28+8
17. 1/1 points | Previous Answers SCalcET8 13.1.049. If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time . Suppose the trajectories of two particles are given by the vector functions for Find the values of t at which the particles collide. (Enter your answers as a comma-separated list. If an answer does t 56
not exist, enter DNE.) t = DNE.) 8 18. 3/3 points | Previous Answers SCalcET8 13.1.050. Two particles travel along the space curves Find the points at which their paths intersect. (If an answer does not exist, enter DNE.) 1 ( t ) = t , t 2 , t 3 r 2 ( t ) = 1 + 6 t , 1 + 30 t , 1 + 126 Find the time(s) when the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) r 1 ( t ) = t , t 2 , t 3 r 2 ( t ) = 1 + 6 t , 1 + 30 t , 1 + 126 t .
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