For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve. 1. (a) A line through the origin that makes an angle of π/6 with the positive x- axis.   (b) A vertical line through the point (1, 1).   2. (a) A circle with radius 5 and center (2, 3).     (b) A circle centered at the origin with radius 4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve.

1. (a) A line through the origin that makes an angle of π/6 with the positive x- axis.
   (b) A vertical line through the point (1, 1).
 
2. (a) A circle with radius 5 and center (2, 3).
    (b) A circle centered at the origin with radius 4.
 
 
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