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(a) Use polar coordinates x = 7' (305(3) and y = 7' Sinf) to write the equation of the Kappa curve above in the form

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(a) Use polar coordinates x = 7' (305(3) and y = 7' Sinf) to write the equation of the Kappa curve above in the form r = f0?) for some function f. (b) Use your answer in (a) to obtain a parametrization 6(9) = (30(9), y(3)) for the portion of L with x 2 0 (that is, the portion of the Kappa curve to the right of the y-axis}. Indicate the domain of this parametrization and the orientation associated with it (by drawing arrows on the curve like we did in class). \fboth items, consider the curve L given by the cartesian equation y? (32 + 202 ) = 202. This curve is known as a Kappa curve because some mathematician was probably drunk and thought the trace of this curve resembled the greek letter k (pronounced "kappa")

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