Question: Consider the parabola r(t) = (at 2 + 1, t), for - < t < , where a is a positive real number. Find all

Consider the parabola r(t) = (at² + 1, t), for -∞ < t < ∞, where a is a positive real number. Find all points on the parabola at which r and r' are orthogonal.

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