Unformatted text preview: p ( t ) and −→ q ( s ) are arbitrary regular parametrizations of C , let −→ r ( x ) = ( x,f ( x )) be the standard graph parametrization of gr ( f ) and let t ( x ) ( resp . s ( s )) be the calibration function for −→ p in terms of −→ r ( resp . −→ r in terms of −→ q ). Then show that their composition is the required recalibration between −→ p and −→ q . 3. Let C be given by the polar equation r = f ( θ ) and set −→ p ( θ ) = ( f ( θ )cos θ,f ( θ )sin θ ) . Assume that the function f is C 1 ....
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- Fall '08