Two particles travel along the space curves r(t) = (t, t, t) r(t) = (1 +...

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Two particles travel along the space curves r₁(t) = (t, t², t³) r₂(t) = (1 + 6t, 1 + 30t, 1 + 126t). Find the points at which their paths intersect. (If an answer does not exist, enter DNE.) (x, y, z) = (smaller x-value) (x, y, z) = (larger x-value) Find the time(s) when the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t = Two particles travel along the space curves r₁(t) = (t, t², t³) r₂(t) = (1 + 6t, 1 + 30t, 1 + 126t). Find the points at which their paths intersect. (If an answer does not exist, enter DNE.) (x, y, z) = (smaller x-value) (x, y, z) = (larger x-value) Find the time(s) when the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t =