allysoftball7051 allysoftball7051
  • 06-06-2018
  • Mathematics
contestada

The result of transforming the equation r2 = 6rcos(θ) + 7rsin(θ) from polar to rectangular coordinates is:

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sqdancefan
sqdancefan sqdancefan
  • 13-06-2018
The usual substitutions (x=r·cos(θ), y=r·sin(θ)) will give
  x² + y² = 6x +7y
Completing the square gives
  (x² -6x +9) + (y² -7y +49/4) = 9 +49/4
  (x -3)² +(y -3.5)² = 21.25
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