Question: Givena E R, Iet Ca : {(1,306 R2 | y2 as? + 1:3 : {I}. (a) Sketch Cfa for a = 1, a = II],

Givena E R, Iet Ca : {(1,306 R2 | y2 as? + 1:3 : {I}. (a) Sketch Cfa for a = 1, a = II], and a = 1. Then, explain how on changes as a varies. (You may use graphing software to help you if you wish.) (b) Show that \"ya : IR H R2 given by 7.:(t) = (flt2, at t\") is a (smooth) parametrization of C\". Is it a parametrization of the entire curve, or are any points missed? Justify your answer. (e) For which a is Fr\" regular

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