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OpenStudy (anonymous):
LetS(u,v)=(v,1−u2). SketchtheimageofD=[−1,1]×[−1,1]underS. Is there a domainD∗ such thatS:D∗ →D∗ is onto? If so, find such a D∗ and explain. This is not onto, but would restricting u to either positive or negative numbers make this region onto?
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