The curve C has parametric equations x = 2 ln t, y = t 2 1,

Question:

The curve C has parametric equations x = 2 ln t, y = t² − 1, t > 0.

a. Find the coordinates of the point where the line x = 5 intersects the curve. Give your answer as exact values.

b. Given that the line y = k intersects the curve, find the range of values for k.

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