Consider the polar equation r= 3 / 2cos⁡x−sin⁡x. Convert this to a rectangular equation (show all algebraic work). Describe the graph of this equation in words (be specific). Confirm your result by using technology to graph the polar equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Consider the polar equation r= 3 / 2cos⁡x−sin⁡x.

  1. Convert this to a rectangular equation (show all algebraic work).
  2. Describe the graph of this equation in words (be specific).
  3. Confirm your result by using technology to graph the polar equation.
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