Question: The substitutions u = 2x - y and v = x + y make the region R (see figure) into a simpler region S in

The substitutions u = 2x - y and v = x + y make the region R (see figure) into a simpler region S in the uv-plane. Determine the total number of sides of S that are parallel to either the u-axis or the v-axis.

8 6 4 2 y (2,7) R 2 (0, 0) 4 (6,

8 6 4 2 y (2,7) R 2 (0, 0) 4 (6, 3) + 6 8 X

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