Suppose that a particle following the path C(t) = (t2, t3 5t, 0) ies off on a tangent at to = 7. Compute the position of the particle at the time t1 = 9. (Enter your answer in the vector form (*,*,*). Use symbolic notation and fractions where needed.) position at time t1 = h C ( t ) = ( th , + 3 - 5t , 0 ) , C (7 ) = (49 , 308, 0 ). c' (t ) = (26, 32 2-5, 0 ) C' ( 7 ) = ( 14 , 142 , 0 ) . Colorscreen . : tat at to =7 in I ( t ) = e ( to ) + ( t - to ) e (to) = ( 4 9, 3 08 , 0 ) + ( t - 7 ) ( 14 - 142, 6). position of the particle at t,= 9 1 09) = ( 49 , 308, 0) + 2 ( 14, 142, 0) = (49 +28, 308 + 282, 0 ) 2 ( 7 7 , 590, 0 )