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Section 7.6 Polar Area (CO6)

Subsection 7.6.1 Activities

Illustration of polar area differential.
Figure 174. Finding the polar area differential

Activity 7.6.2.

(a)
Find an integral computing the area of the region defined by \(0\leq r\leq-\cos(\theta)+5\) and \(\pi/2\leq \theta\leq 3\pi/4\text{.}\)
(b)
Find the area enclosed by the cardioid \(r=2(1+\cos(\theta)\text{.}\)
(c)
Find the area enclosed by one loop of the 4-petaled rose \(r=\cos(2\theta)\text{.}\)

Subsection 7.6.2 Videos

Figure 175. Video for CO6

Subsection 7.6.3 Exercises