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Consider the function f: R2 R2 defined by (x, y) (x-xe, 1+ y sin x). Choose five different points in R2 and, for each

Consider the function f: R2 R2 defined by (x, y) (x-xe, 1+ y sin x). Choose five different points in R2 and, for each one, calculate the approximate factor by which f scales a small patch of area near that point. Are your answers the same? Why or why not?

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