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Calculus

Polar Equations Calculus

Polar Equations - Arc Length

         

Find the arc length of the cardioid \(r=8+8\sin \theta.\)

Find the arc length of the curve \(r=16\theta^2\) for \(0 \le \theta \le 2\pi.\)

Find the arc length of the cardioid \(r=11-11\cos \theta.\)

Find the arc length of the curve \(r=11\sin \theta\) for \(0 \le \theta \le \pi.\)

Find the arc length of the curve \(r=19 \theta\) for \(0 \le \theta \le 1.\)

Note: The above figure is not drawn to scale.

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