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Unformatted text preview: x 2 + y 24 x = 0 1.1 Curve Sketching Example 1.4. Trace the curve r = 1 + cos θ . Note that we only need to consider θ ∈ [0 , 2 π ) . Why? Example 1.5. Trace the curve r 2 = sin(2 θ ) . 1 Example 1.6. Determine the points of intersection of r = cos(2 θ ) and r = 1 + cos θ. Remark 1.1. In the polar coordinate system, the same point can be represented by very many diﬀerent pairs of polar coordinates. Some care is therefore required in ﬁnding intersections. Graphs can be very helpful for checking results. 2...
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 Winter '08
 JackWaddell
 Polar Coordinates, Coordinate system, Spherical coordinate system, Polar coordinate system, Coordinate systems, Cartesian coordinates

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