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Unformatted text preview: x 2 + y 2-4 x = 0 1.1 Curve Sketching Example 1.4. Trace the curve r = 1 + cos . Note that we only need to consider [0 , 2 ) . Why? Example 1.5. Trace the curve r 2 = sin(2 ) . 1 Example 1.6. Determine the points of intersection of r = cos(2 ) and r = 1 + cos . Remark 1.1. In the polar coordinate system, the same point can be represented by very many dierent pairs of polar co-ordinates. Some care is therefore required in nding intersections. Graphs can be very helpful for checking results. 2...
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This note was uploaded on 01/18/2012 for the course MATH 255 taught by Professor Jackwaddell during the Winter '08 term at University of Michigan.
- Winter '08
- Polar Coordinates