009C Sample Final 3, Problem 9

A wheel of radius 1 rolls along a straight line, say the  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} -axis. A point  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P}   is located halfway between the center of the wheel and the rim. As the wheel rolls,  $P$  traces a curve. Find parametric equations for the curve.

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