The points P and Q lie on the curve with equation y = e 1/2 x .

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The points P and Q lie on the curve with equation y = e1/2 x. The x-coordinates of P and Q are ln 4 and ln 16 respectively.

a. Find an equation for the line PQ.

b. Show that this line passes through the origin O.

c. Calculate the length, to 3 significant figures, of the line segment PQ.

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