Write down the number of vertices included in each of the following rectangular regions given as...

 

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Write down the number of vertices included in each of the following rectangular regions given as Cartesian products of intervals. For example, the region [0, 1] x [0, 1] includes the vertices (0,0), (1,0), (0, 1), and (1, 1), so the answer for this region is 4. SO (a) [0, 1) x [0, 1) Enter your answer here (b) (0, 1) x [0, 1)] Enter your answer here (c) (0, 1] x (0, 1) Enter your answor here Recall that an interval is elther closed (e.g. [0, 1), half-closed (e.g. (0, 1) and (0, 1), or open (e.g. (0, 1). Is it possible to produce a rectangular region that includes only 3 vertices from Cartesian products of two intervals? (Yes/No) You don't need to justify your answer. Ente Write down the number of vertices included in each of the following rectangular regions given as Cartesian products of intervals. For example, the region [0, 1] x [0, 1] includes the vertices (0,0), (1,0), (0, 1), and (1, 1), so the answer for this region is 4. SO (a) [0, 1) x [0, 1) Enter your answer here (b) (0, 1) x [0, 1)] Enter your answer here (c) (0, 1] x (0, 1) Enter your answor here Recall that an interval is elther closed (e.g. [0, 1), half-closed (e.g. (0, 1) and (0, 1), or open (e.g. (0, 1). Is it possible to produce a rectangular region that includes only 3 vertices from Cartesian products of two intervals? (Yes/No) You don't need to justify your answer. Ente

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1a The cartisian product of 0101 includes 0 from each set but excludes 1 Thus th... View the full answer