{Iz] < 1}. Let f:U C be holomorphic. Suppose every point in the image of...

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{Iz] < 1}. Let f:U → C be holomorphic. Suppose every point in the image of f lies on the curve y = e* + x³ + sin x if we identify C with R². 1. Let D Prove f is constant. Hint: Show that we must have that f'(z) = 0. {Iz] < 1}. Let f:U → C be holomorphic. Suppose every point in the image of f lies on the curve y = e* + x³ + sin x if we identify C with R². 1. Let D Prove f is constant. Hint: Show that we must have that f'(z) = 0.