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What's on the worksheet
- Find the area of each region.
- x y r = 1 + 2\sin 2\theta The figure shows the curve r = 1 + 2 2θ, 0 ≤ θ ≤ 2π.
- A harbor radar sits at the pole, with x kilometers east and y kilometers north of it.
- Consider the circle r = 3θ and the cardioid r = 1 + θ.
- The spiral r = 3θ, θ ≥ 0, winds outward from the pole.
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The free lesson teaches it with worked examples and practice problems.
Area in polar coordinates: the lesson ›More Chapter 7 worksheets: Parametric, polar and vector-valued functions
- 7.1Derivatives of parametric curves
- 7.2Arc length and speed on parametric and polar curves
- 7.3Vector valued functions and motion in the plane
- 7.4Slope of a polar curve
- 7.5Area in polar coordinates