Question: (a) Find formulas for the distances between (0, 0) and (a, a) along the line between these points and along the parabola y = x.

(a) Find formulas for the distances between (0, 0) and (a, a²) along the line between these points and along the parabola y = x².

(b) Use the formulas from part (a) to find the distances for a = 1 and a = 10.

(c) Make a conjecture about the difference between the two
distances as a increases.

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