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Lecture

10.4 Area & Length in Polar Coordinates Question #5 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
10. Parametric Equations & Polar Coordinates Area & Length in Polar Coordinates Question #5 (Medium): Area Inside Two Polar Curves Strategy First the point of intersection need to be determined by setting the two polar equations equal to each other. Then based on the symmetry the integral can be simplified. Based on the graph, detect which polar equation sets the area that lies within both curves. Then use that polar equation to determine te area base on ∫ Sample Question Find the area of the region that lies inside both polar curves. , Solution First the points of intersection need to be determined by setting the two polar equations equal to each other: . Then 4 can be dropped from both sides, then divided by 3 on both sides. Then:
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