Question: T4 Consider the following vector valued function :[0,2)R2 defined by (t)=Acost,Bsint for positive real constants A,B. a) Show that is injective. b) Sketch the image

T4 Consider the following vector valued function :[0,2)R2 defined by (t)=Acost,Bsint for positive real constants A,B. a) Show that is injective. b) Sketch the image of as a subset of R2. c) What can you conclude about the cardinality of the set you have drawn in part (b)

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