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Unformatted text preview: r = 4 sin 3 θ . Example 1.3. (problem 24) ±ind the area of the region that lies inside the curve r = 1sin θ and outside the cirve r = 1 . 1 Section 10.4 Areas and Lengths in Polar Coordinates 2 2. Arclength Recall x = r cos θ , y = r sin θ , and ds = ± ( dx ) 2 + ( dy ) 2 . So ds = Example 2.1. (problem 46) Find the exact length of the polar curve r = e 2 θ , ≤ θ ≤ 2 π...
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 Fall '07
 Zhang
 Calculus, Trigonometry, Polar Coordinates, Arc

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