Question: 3) a) The position mction ofa Space Shuttle is rm : (r2,t,6> , r E 0. Find the equation of the tangent line to this

3) a) The position mction ofa Space Shuttle is rm :

3) a) The position mction ofa Space Shuttle is rm : (r2,t,6> , r E 0. Find the equation of the tangent line to this curve at the time 3:6. b) The International Space Station has coordinates (I6, 5, 6). In order to dock the Space Shuttle with the Space Station the captain plans to turn off the engine so that the Space Shuttle coasts into the Space Station. At what time should the captain turn off the engines? Assume there are no other forces acting on the Space Shuttle other than the force of the engine

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