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June 26, 2021 12:59 pm 30 pts
40. Let f:R R is given by (G23 -(e cos X,e sin x, 2x cos ) Consider E ={(xg.) e R: there exists an open subset Uaround (x,2) such that fL is an open map Then which ofthe following are true? (a) E =R (b) Eis countable (c) Eis not countable but not R (4) Rx eR is a proper subset of E Uune 20194.75 Marks
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