Solution: Images of regions Find the image R in the xy-plane

Chapter 14, Problem 15E

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QUESTION:

Images of regions Find the image R in the xy-plane of the region S using the given transformation T. Sketch both R and S.

\(S=\{(u, v): 1 \leq u \leq 3,2 \leq v \leq 4\} ; T: x=u / v, y=v\)

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QUESTION:

Images of regions Find the image R in the xy-plane of the region S using the given transformation T. Sketch both R and S.

\(S=\{(u, v): 1 \leq u \leq 3,2 \leq v \leq 4\} ; T: x=u / v, y=v\)

ANSWER:

Solution 15EBoundary of S in uv-planeTransformation equationBoundary of R in -plane:{():1, }:{():,}:{():, 24}:

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